I think it makes sens to use RAID over LVM if you want to split your disks between a RAID 0 volume and a RAID 1 volume.
With this you can't realocate space between RAID0 and RAID1
| / | /var | /usr | /home |
--------------------------
| LVM Volume 2 |
--------------------------
| RAID 0 | Raid 1 |
--------------------------
| Disk 1 | Disk 2 | Disk 3 |
With this you can
| / | /var | /usr | /home |
--------------------------
| LVM Volume 2 |
--------------------------
| RAID 0 | Raid 1 |
--------------------------
| LVM Volume 1 |
--------------------------
| Disk 1 | Disk 2 | Disk 3 |
the good thing is that you can also still move the LVM Volume 2 logical volumes between raid 0 et and raid 1 volume, by using pvmove command
the bad thing is that the setup is complex
It would be better if LVM had a better integration of software raid features.