I think you are overstating Carr's injury history and it's just more reason to prioritize OL. If we need to rely on a #2 QB, then bring in a cheap vet. No rookie we can draft will be reliable.
There is no 14th overall or 2nd round QB that will play ANY snaps for us in 2024 barring injury. A 1st rd OT and 2nd rd DL likely plays close to a combined 140% of snaps. IDL is rotational by nature. The bar you are setting for any rookie (must play 100% of snap or draft a QB) is unreasonable.
Carr's contract, our cap, team needs, and draft position makes taking QB in the 1st or 2nd a poor choice barring a top 3 guy falling.