You lack a complete understanding of what is happening. The House HAS to vote on the bill which was sent to them by the Senate. They do NOT have the votes to pass the Senate bill as written. Not even with a simple majority. They are not allowed to amend the bill and then pass it, because they MUST pass the bill presented by the Senate... you following so far? So...what they are going to do is... "deem and pass" the Senate bill, after which, they are allowed to pass another attachment bill which will serve the purpose of amending the original Senate bill. The Senate will then have the opportunity to deliberate the attachment bill, and decide if they can support it. Pelosi has assured her colleagues that the Senate will pass the attachment bill, but the Senate dems have raised an eyebrow at this... nothing is ever a slam dunk.
What we have, is a complete convolution of the rules, and an outright disregard for the system and process of passing law. The Reconciliation measure was never intended to be used for something like this, and neither was the "deem and pass" procedure, which was the basis for the unconstitutional Slaughter Rule.
But it's all good, Jarhead... WHEN Republicans take back over, they can run roughshod over your Constitutional rights the same way, you've established the precedent, you've set the standard for Congress' to come! So when that happens in the future, I don't want to hear any complaining from you about the "unfairness" or how it's not "constitutional" to do what they are doing, mmm-kay?