If I didn't already have a decent set of air tools from my time turning wrenches professionally, I would buy a cordless Ridgid impact. I'm already in the Ridgid battery platform and their LSA makes the battery replacements pretty painless. Yes, there are horror stories out there about them not honoring it, and I've contributed to those stories, mostly related to trying to use the local HD store as the conduit to service. I can also tell you from personal experience that it has gotten much better in the last few years. I've had several batteries replaced, had one impact driver replaced with an upgraded unit, and had a few more pieces repaired by a local shop.
The convenience of cordless would be awesome, but I'm not willing to drop $200 for a cordless impact to rotate tires on our DDs a few times a year. Even if I did, my scissor lift still requires air to release the locks. If I was still doing it professionally, I'd probably own a cordless impact instead of dragging a hose around.
Going cordless does not negate the need for 220V in the garage. If nothing else, EVs are coming, no matter how you feel about it. My mini split unit is also 220V. I used to think that was frivolous, but I'd give up a lot of other things in my garage before I gave that up.
Bottom line: absolutely run the 220V service to the garage. Live with air hoses a while and see how much you use the air. If you do, then you can get it plumbed to make it easier. That opens up a whole different discussion - what to use (hint: it's not PVC), but black iron, copper, PEX, or one of the purpose made systems like RapidAir.