I have a lot of affection for the A570, it was my first expansion beyond a second floppy and trap door memory.
It has some quirks:
68010 is the only safe acceleration. Adspeed appears to work for about a week, then kills the A570. All other accelerators have timing conflicts.
Supra's 500RX (FAST ram) is compatible. I would bet the new, under-CPU FAST ram would work, too.
Works well with 1 MB CHIP ram conversion (also 2 MB CHIP

).
Has built-in audio mixer.
I run it with OS1.3 & OS2.1
Power the A570 first, then the A500.
A570 is NOT a SCSI CD drive or interface, but, a SCSI-TV add-on will allow addition of SCSI HD, ZIP, etc.
It will run almost all, if not all, CDTV titles.
If you can write bootable Amiga CDs, it will boot from them. A large, custom OS with all apps and files on CD w/o HD is doable.
It has the same, very cool, audio CD player as CDTV built into rom.
From WB, it will work with other CD file systems. I use the latest AsimCDFS.