I race one bike in North Wales league (the rules) and north west (allowed 2). For me not sure benefit of 2nd bike is worth the hassle (cleaning afterwards!) with no one in pits with jet wash, ie only one change. Even then carting water around seems like a big job. Tend to think differently after early exit with snapped hanger though!
If you are at sharp end will be frustrating if your competitors are getting clean bikes. Otherwise all in same boat anyway. But need to ride differently to get bike to end more often than not.
Agree with comments on tubs making big difference, especially something like fmb supermud.
I think a light bike in cx is nice though, especially when on shoulder!