That’s a fair look at things. I do agree some edits overcut on him, to the point where it’s a wonder why keep him at all.
I just always felt that one gag drags on far too long as “Anakin warns him not to touch the beam > He goes to pick up a tool, getting his tongue caught > Oh no, the pod’s gonna start up soon but his hand is caught > Padme helps him out, being the only person not blind/deaf enough to somehow not notice him through the entire conundrum”
Hence my suggestion to try cutting it down to “Anakin warms him not to touch the beam, or else his hand would be numb > Oh no, his tongue got caught instead! How hilarious”, or even stopping the gag as he walks away with his hand stuck, since the audience could assume he eventually unstuck it offscreen, instead of Qui-Gon and Anakin just not caring about possibly maiming him.
I honestly agree with you, but on the other hand, I actually find this sequence quite funny. I like it enough to keep it despite your good points.