Yes, I agree. I think being rational is always being aware that everything you "know" is a house of cards based on your assumptions. A change in assumptions will require rebuilding the house, and a false room means you need to challenge an assumption.

I'm just arguing that a false room never means that rationality (deduction) itself was wrong (i.e., not winning).

All a rational being can do is base decisions on the information they have. A question: is a rational position based upon incomplete information that leads to not winning really an example of "rationality" not winning? I think that in this discussion we are talking about the relationship between rationality and winning in the context of "enough" information.