I do apologize if its against the rule to reply to older posts but this is very interesting question that I searched for it, only 1 carbon gets oxidized, what happens to cut off alkyl group?
the mechanism of aromatic oxidation is complicated but it doesnt say anything about the cut off groups if they were in rings.
Another example is this one:
X is obvious but why does Y turn into phtalic acid since it has hydrogens only on 1 benzylic carbon?