Whether or not he can be considered an “impeached” president, IMHO, is just a word game. The Democrats would like to slap the title onto Trump to brag that being impeached is another reason to vote him out of office. Republicans would like to take that away from them. But to me, it doesn’t matter. The House held the vote, and most likely the articles will get moved to the Senate at some point. If not, then this becomes and even larger joke.
On the Senate side, I can understand both viewpoints: just dismiss vs have a trial. On the “just dismiss it” side, the House already passed horribly flawed articles, so maybe the Senate should reject the articles as a rebuke, and to set a precedent for any future partisan impeachments. On the “fair trial” side, now is the chance to bring e-v-e-r-y-t-h-i-n-g out into the open.
I tend to agree with the fair trial side. Have the trial, bring every witness that was within breathing distance of this thing, including Trump, including Biden, including Schiff, Nadler, and ask some very clear questions. Oh and get the whistleblower there too (Eric Ciaramella), and just have a forking field day, right up to the election.