Would it work?
No
Firstly USB Ethernet adapters are for connecting a computer to a network, not for connecting a device to a network. Probablly your best bet would be to look for Ethernet cameras.
Secondly Fiber does not carry power. Any equipment at the remote end will need to be seperately powered.
if I'll replace the usb-to-ethernet converters to this set (...) which has it's own power supply, will it work over fiber?
Probablly not.
I strongly suspect that despite the mention of "Ethernet" in the title that the device is not a true Ethernet device but merely an extender that uses the same types of cabling as Ethernet. A real Ethernet device would almost certainly mention what speeds of Ethernet it supports.
True USB over Ethernet soloutions do exist but they are tricky to find (cutting through the bullshit adverts is a PITA) and may have performance issues.
There also exist dedicated USB over fiber products. If you really have to use a USB device over fiber these are likely your best option but they seem to be rather expensive.
There are so many problems with this. Can I ask why? – HackSlash – 2018-01-20T00:12:05.917
@HackSlash That's a pretty rude, and unhelpful manner in which to ask an otherwise relevant question. – intrepidhero – 2018-01-20T02:58:28.323
@HackSlash, this is a task that I need to solve. It should work over fiber. If you have any suggestions what should be changed or added I'll be glad to hear. But, it should be through fiber. – theateist – 2018-01-20T19:56:40.050
Anything that works over Ethernet can work over fiber. The question remains: "Why?" I ask because maybe it doesn't need to go through fiber. I'm wondering what makes you think that is a requirement. – HackSlash – 2018-01-22T16:23:20.880
the requirement comes from a client. – theateist – 2018-01-22T17:19:33.090