Voters need to know the pain of this thing before they will understand it.
Cruz's argument is that, once an entitlement goes into effect, it's impossible to repeal. And Zero has decided illegally to go ahead and cough up the law's means-tested benefits without the means to test the means of the recipients (the computers supposedly aren't ready — so Zero's law will be on the honor system).
If the House blinks and shortly passes a clean CR, then implementation proceeds as planned, and we get to see a year from November whether you or Cruz was right.
If instead, there is an impasse, and the government shuts down, then ObamaCare is partially defunded. Absence of a CR only stops discretionary spending, and then only non-essential discretionary spending. E.g., air traffic control still happens. To defund ObamaCare completely would would require passing the current CR through the Senate and getting Zero to sign it (or passing it in both houses with two thirds).
If there is a shutdown, there is the danger Zero will try to go forward with ObamaCare anyway by juggling accounts, deeming it essential, and other shenanigans. Then you would have the program limping along, with Zero and the MSM blaming the shutdown for the train wreck symptoms. What does the GOP do then? Go to court? Impeach him? (Paradox, there — you need two thirds of the Senate for that.)
USA, RIP.