It's one thing to be online-only, it's another thing to have online, but expect everyone to live near a military base, or in a particular city.
I suppose I'll just bring it up when I apply!
My wife's still with one of the "big banks" and more than a few times has been required to go in for basic signatures and stuff (not even for new services, just like "we updated this thing you need to come sign it"). Last time I did something major with my Credit Union was to get a loan from them, and it was shooting them an email, they called me up and we hashed out the details, then they sent me over an approval and a docusign link and I signed it and the money showed up in my account.
I wouldn't necessarily say that I can "transact online" as such (like, it's not like there's a "loan" flow on their website) but they're certainly capable of figuring out how to get things done without me being there in person. I can only imagine with so many staff going remote and people being more hesitant to go places this past year they've only gotten better at it.
Only downside over the years has been that there's never been (and never will be) any sort of integration with any of the budgeting/etc services like Mint. No company is really gonna invest the effort to pick up the 100,000 members my CU has.
I can use the ATMs of the regional credit union in the new area for free if I need an ATM, and my original credit union has been more than happy to facilitate everything else I need via phone and email. And the "phone" agents are literally just the same staff I'd be talking to at the branch I opened the account at, not some call centre, so there's no real need to go in to actually get customer service.
On top of that, the accounts are completely free. I pay $0/mo for a handful of accounts (one for general monthly bills, one linked to my debit card, another for savings, etc) with unlimited transactions/transfers/etc.
The _only_ thing I'm missing is the ability to deposit cash. Which has yet to be any sort of issue for me.