The P1S has the same heater (the heat bed) and the same concept of a variable speed fan that regulates how much air is drawn from the chamber. The only real difference here is that the core has a vent cut out, whereas the P1/X1 tell you to open the door for PLA to let it very slowly pull in cooler air (the fan still runs, just at a lower speed to prevent warping).
The Core One is technically not even comparable to the P1. It's not got a camera, nor an AMS system (the MMU is well known for being incredibly unreliable and finnicky to get working well vs a box that you plop on top and plug in).
The only real compelling thing about it is the upgrade path from the MK4, and the nice design cues like the integrated spool holders with potential for a dryer.