[EtCepeyd]

> but they can just as easily say "hold up, don't do that until I get a chance to look at it"

This still requires them to take notice of your query, within the deadline of your choice; and that may not be a given.

[causal]

Right, that's called communication. Communication also enables you to ask your manager if this approach is okay to begin with, or ask that they acknowledge when you give them such heads up notifications. There's a lot of ways to make this work well.