I think an issue is the frequent hazardous weather and winds that occur at high elevations in the Whites. On a good day, it’s glorious up there, but it would still be difficult to reliably operate and maintain lifts consistently in the winter and spring. For Tuckerman Ravine specifically, any lift would have to negotiate the steep cliffy terrain, making wind-resistant surface lifts out of the question. You’d also need precautions for avalanches. With the right profile, maybe a chairlift could do it (see Palmer Express at Timberline Lodge, OR) but it would be an ambitious project. A bicable gondola would offer good wind resistance but would be very expensive.
Ultimately, I think it’s good that spring skiing options exist for both resort skiers (Killington) and backcountry enthusiasts (Tuckerman). I’d be against a lift-serviced ski area on the Presidential Range simply because the natural beauty is incredible and there already exist ways of getting to the top of Washington by means of mechanized transport.