Not really, the Speaker will not be able to prevent left wing Republicans from “crossing the aisle” to vote with their “friends” in a “bipartisan” vote to do “the right thing.”
If the Speaker pushes on them too hard, they can just flip sides, or go independent and caucus with their “friends.” The Democrats are united for power. The Republicans are split between a few leftists, a mushy middle and a solid right wing. It will be child’s play for the Democrats to pick off the votes they need, as long as they don’t overdo it.
“As long as they don’t overdo it”
That is the slim and fragile thing left to cling to.