if we are talking about haki, yes about intelligence no
It has not been established that Luffy is "a genius" in terms of haki, much less that the admirals are idiots (in terms of haki). Luffy showed a gift, but he needed 18 months to learn the basics from Rayleigh, so it's not as if he completely rushed through it with ease. Meanwhile, the admirals all obviously know more than the basics.
Well then you aren't really agreeing with me, since that misses the point completely.
I wrote I "would" agree, from which you can conclude there is some reason for me to disagree.
@brennen.exe:
The purpose of the time-skip, for the crew, was because they weren't prepared for the New World; Rayleigh's words were, "do you want to repeat that?" referring to the incident at Saboady. If Luffy– having devoted an entire two years to pursuing that same goal, with the perfect teacher and circumstances no less-- if he runs into anything from this point on that requires him to reflect on his own powerlessness and seek more power in turn, then the time-skip would have failed to do exactly what it set out to do. Of course as he is now he needs to get stronger, arguably 'a lot' stronger, but he should already have that base for which his steady growth will stand on. Think East Blue.
They are prepared against the things they can expect (strong logias, haki users). But there may be unexpected stuff, and you can't really prepare against that, no matter how much time you spend training. That's the very nature of unexpected stuff.
If they aren't powerless against the expected stuff (eg. haki, logias), then the training wasn't useless.
I'm not even saying there will necessarily be such complications. I'm just open to the possibility, whereas you claim it's impossible. Why so? Rayleigh does not necessarily know everything about the new world.