I'd dive a rebreather.
And I might try to work out some crazy logistics to import t-bottles of helium.
Okay, I might dive air a liiiitle deeper than I do here with the luxury of abundant helium, or I might just do fewer deep deco dives, but I wouldn't become a "deep air" diver. There is too much research indicating that it's unsafe. Sure plenty of guys did amazing things in deep wrecks on air before we had modern research and mixed gas, and sure plenty of people continue to dive that way. I still have plenty of respect for those people but it's not for me personally. I am probably a little more risk-averse than other divers; I dive quite conservative GFs, have no problem thumbing dives, etc. Your mileage may vary.
Also, given all the work required for tech diving, it's is much more enjoyable to have a clear head and good memory during those precious few minutes you get on the wrecks.
Not having a spare $20-30k to spend on a rebreather and getting trained/certified to do CCR trimix at the moment, I'll stick with open circuit for now. As I don't have that money sitting around for such a purpose, you can imagine I probably haven't budgeted for my own trimix capable fill station with booster pumps etc. either at this point. My local deep diving isn't on wrecks, it's in a quarry. Mostly looking for lost gear (found my nephew's mask at 146' a couple summers ago for instance) or just finding what else is sitting in the quarry. With no current, no extra environmental hazards of significance, nothing but calmly diving near the bottom and looking at/for stuff, I personally find there to be a very low risk of an event happening where I'd be dangerously retaining CO2 down there around 150ish feet. To me, with those conditions, it's not worth driving 5 hours to Florida to get trimix fills to come back up north of Atlanta and dive in the quarry.
Sure, diving that on air isn't something that some people will do, but it's not outside my risk tolerance to do that dive.
Now, going to the Oriskany and checking out the hangar at ~176', I'll wait to do that dive until after I can use trimix for it as now there are a lot of other factors involved, including effort of swimming against currents of some unknown amount before getting there, almost another atmosphere of pressure, more excitement on the dive, longer planned deco obligation, etc. that change the overall risk scenario of the dive for me to one that I wouldn't be comfortable doing on air.
Now, if I had already bought a rebreather, already done all the training to be a CCR trimix diver, etc. then I'd probably do the local dives with the rebreather and trimix instead of on air. Why? Well, at that point it would be convenient and not really have a significant change in costs to do the dives, so why not?
I guess in the end, it all comes down to what the divers are comfortable doing and their personal situation, and that's a personal decision based on their risk tolerance, current level of training, current equipment, etc.. I'd never tell a diver they were "wrong" to not dive to the bottom of my local quarry on air, but I wouldn't tell them they were wrong to do it either if they were trained and equipped for that type of dive by the standards of major training agencies.