Not if his timidity made him not step forward so much but actively step back and avoid confrontation. It was almost surprising to alternate Riker the guy asked for more since he had never asked before, and how Riker described him as steady, reliable, and punctual may be the kindest things he can say about him. It was only when the real Picard was in alternate Picard's body, so to speak, that he even dared think he might be capable or want more. Alternate Picard may have been a coward, and while he could do his job as well as a clock, which is also steady, reliable, and punctual, it's not command quality material. Often they point out you must to stand up for yourself to get promotion. Is it really that hard to believe the alternate and timid or cowardly Picard didn't? Or that Barclay, despite his problems, said why do all that work without getting promoted? Well, we need your brilliance, so you get promoted. Anyway, Q could have taken Picard to any number of alternate timelines, so why not show him the one that would teach him the lesson Q wanted to teach him the best?