First, the general answer "no", because the point at which the system slows down because of drive use, depends on the format, cache, and types of allocation being done.
Also you are using the word wrong. Do you have "unallocated space" or "unused space"
"Unallocated" means you do not have the drive partitioned to the full size of the drive.
a 1TB drive, with a single full size partition may format to the 900G range (mine fmtd to 930G +/-) So "unallocated" means when you originally set-up the drive, you manually created a partition of say .. 800G .. and if you went into Disk Management (windows) you would see "unallocated" for 150G (+ or - a few) on your drive, after the main partition.
What they meant was "un-used" or "not filled" with data. So looking in "my computer" you would see 300GB free of 930GB (my case, my 1tb drive, and drives sometimes format differently)
There is some truth to not filling a drive full. The fuller the drive, the potential exists to have fragmentation that could cause more seeking than would be needed, because the files were laid out a few here, a few there and so forth. When the game (or app) starts it may again take additional space for temporary files, and when done toss the space used, and then the next time start up for temporary files in some other space on the drive..
Think like potholes on a road, get a pot hole.. you fill it in. Sometimes the filler is a little higher than the road sometimes not .. but most potholes are weak spots now ... and as its driven over, the filler starts to break up and come out. If you were to compare a before and after, the pot hole after a fill and later loss of material, will never be the same shape or have the same open area as it initially had ..
So, say the temp space is set to initially take 10243850 bytes and adds temp space to its "filler" 4096 bytes at a time. It found a spot that was 10244090, so its 10243850 temp file fit, but it can't grow there, and has to add a chunk reference to another open spot on the drive that could be within 1/4th disk rotation, or could be 1/2 a rotation away ... like the other side of a circle directly opposite the original data .. now to read from both parts its got to wait to read that other chunklet ... till half the drive spins past.
That is what adds to file latency in reading ... chunklets of the file in different areas. There are all sorts of schemes, mechanisms at play on a drive, and in the OS trying to reduce all of this latency ...
Now enter how much the drive is in use .. your program wants 10243850 initially ... if it can't find a contiguous block of space large enough, it may tell you your drive is full, or it may allow the drive to split that temp space up in to smaller chunks just so the program can reference it as "one" ... again adding that latency, because now the drive is forced to get a bit here, bit there, etc.
As Ramhound pointed out .. loading something like FarCry is dependent largely on CPU & RAM, how efficiently it uses RAM, and is dependent on how it wants to use space on the drive.. does it want to grab some temporary space to quickly swap or cache stuff to its own "temp" file for your inventory or for things it can't fit all in RAM now? possibly.
The real killer in performance from day one, to 3 years later when your PC seems like its the box turtle out for a leisurely stroll, are changes in the efficiency of Windows. Patches loaded, contiguous free space, driver performance, CPU throttle (if your cpu fan has a lot of dust and dirt on it, it is no longer cooling as well as it did, your cpu maybe throttling down some) etc. etc. etc. The last bit of that as another user pointed out, helper programs that slow things down. Install iTunes, and even though you may not be actively using iTunes itself, it has bits and pieces it loads and the system runs non-stop, so that should you decide to start iTunes (or click a link in a browser for an iTunes song, stream, or show) the main iTunes process loads faster or like clicking the link starts the play process faster than if it had to read the entire program into memory from the start. (don't mean to pick on itunes, its just common enough many people have it) Some of these conditions match the typical case of bloatware. Java does the same thing, so do many adobe products etc etc.
Biggest performance gains are changing spinning sata drives to SSD, additional and/or faster speed RAM, more CPU ... if you have the ability to swap say an i3 for an i7 on an LGA 1150 socket motherboard, you will gain leaps of performance (CPU support isn't just based on socket but chips on the board, bios etc) RAM & CPU support are motherboard dependent where swapping SSD sata for spinning disk sata is usually not.
Generally you would see generational increases with CPU change, and see order of magnitude access and latency drops for Sata Disk to Sata SSD, with RAM, unless you started with really slow RAM, your performance gain on speed won't be effective but may yield still additional frame-rate differences, and generally adding more RAM means less swapping to disk.
What you read is not accurate. I have many identical systems except in the amount of storage they have, and they all 1TB+ drivers, which are 90% filled but their performance is identical to one another. – Ramhound – 2016-09-10T17:43:36.870
Loading Farcry and a browser are mainly CPU bound not disk bound, if it's taking 15 minutes, it's because of the CPU not your mechanical SATA 3 drive – Ramhound – 2016-09-10T17:48:42.033
since you have the experience why dont you post it as answer? – Fennekin – 2016-09-10T18:04:32.447
I don't have the time to locate the research to back an answer. Somebody else can answer this question. If that's a problem, I apologize, just busy today – Ramhound – 2016-09-10T18:25:19.067