Full featured with a 68030?
Yes, why would that be a problem? If you look closely at the local bus expansion slot in A3000 and A4000, it's just a 68030 bus plus some additional signals.
In fact, 68030 is a better Zorro III bus master than 68040 or 68060. As far as I know, there are no existing implementations of 68040/68060 accelerators that can do burst to Zorro III space. While 68030-based cards do this without problems (since no additional logic is needed on the CPU card).
This is one of the reasons why cards like ZorRAM perform best while driven by 68030

.