Trump wants the trial since he can finally show the evidence of voter fraud. It is a kangaroo court with no meaning so use the time to show the fraud.
They want to do a double-secret probation trial, because they say they're “afraid” of enraged MAGA insurrectionists.
Of course, votes to convict or dismiss will be kept secret, so RINOs won't get death threats.
The senate sets the rules of evidence. Evidence of election fraud will not be allowed.
I understand the argument that it must be allowed because the entire basis for the rally, content of the rally, and justification to "make your voices heard" is the election being decided wrongly. But the Senate can and will change the issue to "did Trump incite or not," and can stipulate the fact of the election one way or the other without resolving the election issue.
The Senate has already found that the election was decided correctly with no constitutional deficiency. It will not allow its own findings to be challenged.
The Senate is one of those "it is impossible for us to do wrong" bodies. Just like every other institution in the federal government. They are all perfect. Just ask them.