I doubt there will be objections. Rather it will go the Jeffersonian route.
This is the most likely avenue that will be taken. The states who behaved unconstitutionally
(ignored the legislatures and had their governors
and state attorneys general coordinate to change the rules themselves as they went along) did a grave disservice to their citizens. Their actions
will cause those illegal votes to be discarded. Their states will be disqualified because they ran an unconstitutional election. The left's voters can go
and riot and set fires to those states' pols' homes and property for what they did to them.
With the high probability of both Trump and Biden not reaching the 270 mark, it will go to the legislatures where the remaining states who held
constitutional elections with legal votes will each give their 1 solitary vote and Trump would win.
We'll see.