What is your actual prediction on this topic? That the networks won't announce a winner? That there will be enough uncertainty that a significant number of people expect the election-night results to be overturned? Or just that some lawsuits will be filed and a few will hem and haw a bit? Or are you talking about just non-specific further disillusionment with the electoral college?
The last two seem likely, the first two not so much.
The systematic obstacle to litigating as many results as possible is that there is a financial cost. And some amount of public ridicule, which will vary with perceptions of legitimacy. I think the cost of doing so twice in a row will be high enough that it's unlikely for the Dems to do it again unless they're pretty sure they'll win. The Patricians may try it, hoping the "turnabout's fair play" defense outweighs the hypocrisy of doing so after screaming about losers who try to l[itig]ate elections.
I think it'll (continue to) be fairly uncommon for there to be a serious amount of uncertainty regarding the next president beyond election night. If I were to wager, I'd go as high as 5:1 against, if we could come up with some working definition of "serious uncertainty".