I’d think that obviously, the majority of Tony voters didn’t even get to see the show last year (or it arguably would have qualified already), so I’m sure they’ll all need to see it now. (And I’d imagine that for the few who did see it before shutdown, the production would be more than happy to accommodate them with a new pair of tickets to jog their memory.)
As for reviews, as you say, it already opened, and only one cast member has changed out of the entire company (pretty impressive, after closing for a year and a half following only 7 official performances, and for a show that has a lot of actors who get film and TV work like Mare Winningham and Jay O. Sanders). So I don’t expect critics will feel obligated to re-review it. But considering the nearly rapturous raves it received, I’d bet that several of them will see it again.
In fact, given the paucity of new shows in the early part of the fall, and the thematic relevance of the show (The first paragraph of the Times review says “Home as a place you thought would live forever no longer exists. Yet while this singular production… evokes the Great Depression with uncompromising bleakness, it is ultimately the opposite of depressing”) – I wouldn’t be the least surprised if rather than Chicago or Wicked, some critics choose this to be the first show they review/re-review on Broadway this autumn.