I really think what Baki and Yujiro have is limited subjective reality + illusion creation, not sense manip. Since the time we have first debated this i've remembered lots of occasions where Baki has managed to do lots of real stuff with his imagination.
By instance, there's
that feat where his imaginary Yujiro literally does a crater and not only that also manages to do a miniature earthquake
that i calced.
There's also that time where Baki's imaginary giant praying mantis also did a crater when fighting Baki.
And i'm sure that if someone took more time to search there would be more feats like that, aside from all the stuff we already remember clearly. On top of that, i feel like the few times the author has described the workings of this ability he always refered more to "imaginary" and "not real" than "senses" and "feelings".