It will replace a lot pedals, I think I'll keep my compressor though.
My compressor is a Boss BC-1X Bass Comp, which I think is one of the best bass compressors on the market, equalled or exceeded only by the tc electronic SpectraComp, so if I were to switch to the Core, I'd be using the same compressor. The Core's X-Bass compressor is the BC-1X.
That being said, an analogue wideband compressor is a totally different beast to a digital multiband compressor, and I don't think digital effects are categorically better than analogue, so if you prefer a particular analogue wideband compressor, I think it's a good bet you wouldn't be happy with the compressors in the Core or any other digital multi-fx unit.
I've actually been thinking of adding an analog wideband compressor to my board just for that reason, for a different flavor.
And not for nothing, but in order for me to use the Core in the way I'd want to use it, I'd have to accept plugging my bass directly into it, and giving up my "100% true bypass or 100% analogue up to the preamp's output" preference—though TBPH, I don't actually have that with my current bass pedalboard, which was one reason I was thinking of redoing my board.
Digital is a necessary, if tolerable, evil for the way I use my piezo bass, but with magnetic pickups, I can eliminate the digital effects I find essential. With piezo, I prefer to use some kind of "acoustic resonance enhancer" effect coupled with a compressor, and all of those ARE effects of which I'm aware are digital, so when using them, I feel no qualms about also using a digital compressor.
Switch the piezo out for magnetic, and there's no need for the ARE, so going back to an analogue compressor preserves that analogue feel—unless I stick with Boss and their insistence on buffered bypass everything, and there's no indication of whether or not the Core has any analogue signal path, at all.
To an extent, I'm simply being overly superstitious about some of this, of course, so don't take anything I have say as canonical or definitive.