IANAL but there is also the argument if impeachment failed as a result of the Senate it would pave the way for him to get out of the myriad charges that are waiting to be filed once he is no longer president. I think many legal scholars believe that this isn't traditional double jeopardy, but with how many judges he has appointed and the way the USSC is leaning, I am also not sure how confident they would be that the courts wouldn't find standing for acquittal based upon a failed impeachment.I think it's more an issue of timing than of Dems not being on the same page about impeachment itself. It's a tactics vs. justice argument, not really an argument on the merits of impeachment. Hell, most of the country now thinks that he deserves impeachment.
Thing is, this Senate will never remove Trump from office, and so impeachment proceedings are the definition of political theater. I'm betting that Pelosi doesn't see it as just a symbolic move, but as a tactical move that you can only play once. And the only way this theater will have any practical meaning is if Dems wait to start the show until the audience is actually watching. IMO, Pelosi wants impeachment hearings on every evening news channel this time next year. She wants Trump to be asked about it during debates. She wants Trump to defend himself on primetime TV up until the election.
And since Pelosi knows that if she impeached tomorrow, the Senate would immediately absolve him, and the entire ordeal would be forgotten while refugees still get sexually abused in American cages, she's not interested in burning that card as a mere statement. Her struggle will be to keep her caucus together when a third of them start shouting louder and louder that waiting is a moral mistake. I happen to think that both sides make a strong case, but that Pelosi's strategy is the best one.
(Lawyer-type folks, how did I do on my terminology? A double check on accuracy would be awesome too, but I used the word standing and acquittal in a sentence for the first time ever, so I'm happy about that)
Further reading: Link here
They mention that double jeopardy wouldn't work because there are likely many criminal acts that he could be charged with as long as they haven't run the statute of limitations. But wouldn't the HoR want their case to be as ironclad as possible before beginning the impeachment process? To me that would require throwing as much into the impeachment articles as possible.