Hah, that is indeed the narrative but is it really true? Poland is one of the major recipients of EU aid, it also benefits immensely from the single market. Yet politicians always use it as a scapegoat blaming it for its problems!
The Polish political/media approach seems very, very similar to the British; anything good, Poland did, anything bad is the EU's fault. I think most member states do this to an extent, but a few really lean into it, causing a lot of public confusion.
So you have to take the bad with the good? Can't you say "money is good, but being forced to be leeched on by refugees of NATO wars is unsavoury and doesn't help anybody"