The electors will have long since been chosen - in mid-December latest. And since the majority of swing States are held by Republican legislatures it's highly unlikely that there would still be any counting being done anyway, not that it would make any difference.
The couple of exceptions would be where there's a Democratic governor, so possibly those States would send two distinct sets of electors. The challenge will then be which set of electors are eventually certified. But that will have nothing to do with the ongoing count at that point.
It would have
everything to do with the ongoing count at that point from the position of the Democrats.
If there are ballots still in dispute on the 20th of January and Trump is still winning(in the relevant state), the Democrats could very easily say that "because the will of the people in (insert decisive state(s) here) is unknown" they cannot act on
either set of electors, and as such are going to delay the congressional portion of the process until said legal processes complete.
Then they can scream about the Republicans being undemocratic when they push for ratifying the results as they are.
And you end up with the Speaker of the House as Acting PotUS with its own set on constitutional issues, unless they slip through some surprise changes to the presidential succession process between now and January, which is unlikely.
At this point, I really do think the Presidential Succession Act does need to be revised to skip over the Speaker of the House, and possibly the President pro Tempore of the Senate as well in the event that a presidential electoral dispute is still ongoing in Congress at noon on January 20th.
Because "Acting President and Speaker" is all kinds of constitutional nightmare, as it presumes a rogue "House of Representatives," which nobody should want to establish precedent for, the 25th Amendment becomes N/A as there is both no sitting Vice President to initiate anything, and the sitting President at that point also holds the title of Speaker of the House, who is one of the people who is supposed to certify the Presidential incapacity....
And as that Acting PotUS is Speaker, they have majority support in the House, which means impeachment is also out as a constitutional/legal option. The only solution at that point is for someone(SecDef, the Senate?) to declare what the House of Representatives is doing to be an insurrection and then go about
arresting/killing a significant portion of the newly elected members of the House of Representatives...