Hard pressed to find one that NEVER will ask folk (unless they fancy breaching a few requirements), but some that are sensible in asking whom (ie, not the guy who deposits 10 quid a month) they ask and how they apply the reg's.
Typical bookie ones seem to adopt a more common sense approach: Will Hill, Sky, Bet365 etcetc. So, unless you're going feral with deposits/weird game play on there, i imagine you'll be fine.
It's the MGA ones that start sow'ing at weird times (Slotmillion/Casumo): i'd particularly give Casumo a wide berth for many reasons.
Novibet i've deposited often at, never had issues: same for Videoslots etc but tbh i wouldn't expect a SOW with my game play/deposits etc.
Also, a casino's (eg if they're fined etc or get a new legal department or change in risk appetite etc) approach may change: fine today, then go SOW nuts in a few months, so you never really know.