And did I correctly hear that no one in the House has elected to do so?
I think they can't until the bill is passed -- but I admit not having studied the process. I figure the House doesn't care if the Senate spins its wheels, and objection isn't necessary until the Senate passes something outside of its Constitutional purview.
Here is what looks to be a good tutorial on the matter of House "blue slips." Note too the statement made withing that piece ...
http://www.taxhistory.org ...
'A Source of Frequent and Obstinate Altercations': The History and Application of the Origination Clause (Copyright, 2004, Tax Analysts)
First, the Origination Clause is enforceable not only by Congress but also by the courts.