I think that may be misunderstanding the effect of brexit on the independence question.
I agree that for Scotland the EU was never the big issue that it was for much of England - that's why turnout was lower here. I'd describe the Scottish position on the EU as not understanding why the English were so bothered with it, as we could never really see the problem.
The real impact is that things that came up in the first IndyRef are affected by the brexit vote - for instance:
- Border/customs controls between Scotland and England, and/or restrictions on cross-border workers: The UK Government has stated there won't be any problems in these regards for the Irish border, so it's reasonable to assume this will also be the case between Scotland and England.
- Risk: Scottish independence brings risk, Brexit brings risk - therefore the net additional risk of independence (whilst staying in the EU) vs remaining in UK (and leaving EU) is less than the risk of independence last time. It's not that unlikely that 1 in 11 No voters last time (i.e. enough to get above 50%) liked the idea of independence but lacked the appetite for risk - now that risk is lower (possibly less than the risk of remaining in the UK) they may vote the other way.
- Currency: "You'll lose the pound" has a lot less weight now that it's worth ~15% less than it was then.
- The no campaign itself: The fact that "vote no to avoid losing your EU membership" has been shown to be correct (even if many arguments in politics are incorrect on all sides) may cause some people to doubt any argument from the no campaign this time.
These are just a few examples of how EU membership doesn't need to be super-important for Scots to influence a second indyref.