BBA, I'll never be seen dead in one of them (except in the trunk by some Russian/Turkish mafia). So alternatives are needed, and Genesis is one of them. I don't like CUVs, but if it has to be one, I'll never accept any that is FWD, must be RWD.
The question of this thread is probably indeed not correct. No Genesis will not hurt Lexus. Lexus did hurt the Germans, but the Germans did not hurt Lexus. Lexus did not hurt Infiniti, nor did the Germans, Infiniti hurt themselves. The only brand that hurt others was Tesla, but even then, not really hurt, just impacted, then not even directly, but rather the competitive environment.
So the question would rather be, "Will Genesis make it? And parallelly will Lexus hurt themselves?", which if to both questions the answer is yes, Genesis will be in the game, and Lexus not, so Genesis wins, Lexus loses. If Lexus does not hurt themselves, but Genesis makes it, it will be natural competitive environment targeting different consumers in the grand premium market with a usual fight for converts.
I think as in many other subjects in life, the traditionalists (RWD low cars) will simply see their product diminish (also the Germans), and will always have less choice with increased mediocrity.