Mr. Baker, the former secretary of state who led the legal and political team during the Florida recount battle in 2000 that secured the presidency for George W. Bush, said in an interview on Thursday that President Trump may have legitimate issues to pursue but they should not be used to justify a halt to the initial tabulation of ballots.

“We never said don’t count the votes,” Mr. Baker said. “That’s a very hard decision to defend in a democracy.”…

“There are huge differences,” Mr. Baker said of the Florida battle and the brewing fights over this week’s election. “For one thing, our whole argument was that the votes have been counted and they’ve been counted and they’ve been counted and it’s time to end the process. That’s not exactly the message that I heard on election night. And so I think it’s pretty hard to be against counting the votes.”