I hope they’re well aware of the time constraint. This isn’t like Bush v. Gore where they’re just trying to stop a bogus recount in one state. Whatever remedy they want is going to take time to implement, and it all has to be done by 12/8 under 3 U.S.C. § 5. They don’t have time to build a “water-tight” case if they want to actually affect the outcome of this election.
Ultimately, there probably isn’t anything any court can do that will change the current apparent outcome of the election. Any relief will probably have to come from the state legislatures.
I sincerely doubt they aren’t aware of the time constraint.