It is not too pushy, but also, the coach may not be very direct. My son was recruited during covid, so everything had shut down, and programs that almost certainly would have seen him that Spring (junior year) did not. So even though Bowdoin had not seen him play in person, they gave him a preread. But, perhaps because they hadn’t seen him, the coach dragged his feet and kept saying the preread results weren’t back yet. He never came out and said directly “you’re not our first choice”, or, “you are the #3 recruit for your position” when clearly something like that was the case.
So you still might have to read the tea leaves a bit.