Subjective subject-verb agreement
Most of that rack of paperbacks is/are trash
does appear ambiguous but that is only grammatical. If it is to retain its meaning the rack can and the paperbacks cannot be dropped…
Most of that rack is trash
appears unambiguous but it clearly refers to the rack alone. Only prior knowledge of the context, not grammar, can reveal the meaning.
Most of the/those paperbacks are trash
not only appears equally unambiguous; it clearly gives the correct meaning and no other.
The box of cookies is a slightly different can of worms since the content provides more to get the teeth into.
Most of the box of cookies has/have been eaten
might be grammatically identical but it doesn’t really contain the same ambiguity as the trashy rack.
Most of the box has been eaten
is unlikely to be used by itself, solely because it contains the and not that.
Most of that box has been eaten
could stand by itself but it would still fairly clearly indicate either a mistake, or the lack of extra knowledge. It can make complete sense only if we already know that the speaker is referring to a rodent infestation or something even more odd, such as a box-eating contest.
Not to make too much of a meal of a tiny point, whether team or players are eating also makes a difference to the meaning.
The team of players is eating lunch
implies the whole team.
The players are eating lunch
quite possibly means the whole team but that’s no longer implicit. It could as easily mean any number of players more than one, however many constitute a team in whichever sport.
That niggle grows apace when we ask what actually helped the team succeed.
My wide range has helped my team succeed
won’t work unless, for instance, the team is of rustlers or wranglers and the coach’s home really does have a wide range where they train.
My abilities have helped my team succeed
clearly does work by itself.