Preamp to preamp

Assume you have two preamps: a vintage preamp (p1) with nice phono input but no remote, and a modern preamp (p2) with remote but no phono input.
Any problem of connecting source --> p1 --> p2 --> power amp?
p1 has tape out, so I guess p1's tape out can be connected to any line input of p2, and I can use the phono of p1 and p2's remote to control the volume, right?

Assuming p1 is a better preamp, CD connected to p1 may just sound like CD connected to p2? Or, even worse?

Any concern on damaging pre or power amp?

 Thx