Maybe problems isn't the right word, but we can't profitably 4b/call off QQ here because villain isn't shoving worse. If villain isn't shoving worse it's because villain doesn't have the motivation to shove worse. So why doesn't have have the motivation to 3b/5b AQ/JJ/TT?

1) You 4b call off tight (QQ+), so he's not doing well vs your stack off range.
2) You rarely 4b/fold. So once you 4b, there isn't a high likelihood that a light 5b jam will take it down without a flop.

So conceivably if you started to 4b/call off worse (JJ/TT) or started 4b/folding more, he would/should start 5b jamming lighter and you should start 4b/calling this off.

Anyhow, to be clear, I really don't mind flatting QQ here. I just think 4b/calling QQ should still be a profitable situation overall.