Hmm; I have Opera Version:64.0.3417.92 on Win/7Pro SP1 and can access my bank fully and Chase.com....[ ]...
I can access my home bank fully with FF, "NoScript add-on included and active, but with permissions granted, but not with Chase, for the reasons I outlined above.
(I just updated to the version you have a moment ago, and didn't lose a thing, even my partially written post, which is impressive to say the least)
I'm running Opera on Win 7 32 bit,, with no extensions, save for the native ad blocker.
I made several attempts a few months ago to pay Chase online, failed, and called payments in by phone. At the same time, I pissed a b*tch to them about nor supporting Opera, again emphasizing that Opera is Chrome, albeit a customized version. so support should reasonably be available for it.
Although I would like to imagine my complaints were worked on, it's more likely their IT department simply got off their collective a**es, and corrected the problem..
At one point earlier in this saga, Chase would allow me to continue with the "unknown browser" (Opera), but after a point I was met with a strict refusal to allow it..
I tend to run w/o any addons in my browsers also...[ ]...
I would proffer that you at least investigate the NoScript extension, to familiarize yourself with what it does contribute in the way of safety, and obviously what problems it could potentially create. I am fairly lazy about going through extensive white listing charts, and that could be my issue with FF and the Chase site.
If you do regularly use Opera here at Techspot, I'd be interested on knowing if you experienced that little quirk I outlined in my OP about the new "info box" type links blowing up a "popup warning", with left click, but being able to open them with a right click, "open in a new tab", command
I confess that I get to point with leaving tabs open to a point where to "Speed dial" no longer shows links, (only 4 GB memory), and whether that has any bearing on it.
I do know that CCleaner has a field day removing browsing sludge from Opera, which I run in standard mode, and not private browsing protocol.
All my best.
Epilogue: the letters have mostly worn off my $3.99 Microcenter keyboard, I sick at touch typing, so I guess it's time for a new one...