We changed pumps to a FloJet VSD pump. It changes speed based on the demand. Eliminates the pulsating and is much quieter.
We've done that mod on just about every RV we've owned. Keeps a constant flow and much quieter operation.
Pretty much direct drop-in replacement, didn't require any change in the water lines and present wiring is fine.
Just to be clear, there's typically two models of VSD pumps, one that's basically a stock replacement and a larger variety that has greater flow. The latter will allow multiple faucets to flow at full volume simultaneously. I want the latter so I don't get scalding water when during laundry during a shower.
That being said, do you know which model you installed?