Crossbike geometry is everywhere. Euro style (https://www.ridley-bikes.com/product/x-bow-disc/#/customise/70406396?basketIndex=0) has a super high bottom bracket and move everything higher . US Style has about the same geometry as a main-stream performance road bike, but with slightly more room for tires. The top tubes are usually level and the cables are traditionally routed across the top of the top tube, so you can carry the bike easier. As a result they typically won’t ride as well as a gravel bike because it has less exposed seat post. You also can’t run frame /tt bags as well. Newer CX bikes probably won’t let your run anything but 1x. Most can run 38c tires now.
Gravel bike uses endurance bike geometry (1cm short and higher than performance road bike). More mounts, more luxury.
Aside from the 1x only cx bikes, they both make fine road bikes with road tires. The other exception might be the more MTB gravel bikes with the longer, slacker geometry, which won’t draft as well.