I think some GOP member will request the vote. I don't think it is (usually) the function of the presiding officer to request the vote, rather, the function is to preside over the deliberative process and maintain parliamentary order.
I am positive that his presence will change the demeanor and have the effect of serious escalation of heat. E.g., by providing a reason for more media soundbites. I don't know if this was scheduled. The announcement on CSPAN went by, as if it was not unusual.
I'll step out on a limb here and say, this is a big deal.
The Senate dems will have to be educated in the errors of their ways and why what they're doing now is unconstitutional. Hopefully we'll all learn somethin'.