In my experience with Linn, it was very sensitive to the shelf it was placed on. In fact, my dealer who installed it was shocked at the difference in sound between the standard wood shelf on my wall shelf and the Neuance platform, which unfortunately are no longer made. I don’t know about Rega, but you might try some different platform options before changing. Even a simple wood shelf with Vibrapods could bring it closer to what you’re looking for. Or not.
Where to go next with the turntable
I've been a long time owner of a Rega P7, and I feel like investigating an upgrade, I'm ot sure if I want to stick with Rega (P8 or P10) or try something else? Currently using a Soundsmith Zephyr MK III cart and Hegel V10 phono stage,
What I have now sounds good, but some more bass/warmth would be welcome.