Been having conversations like this with a client I've worked with. They get approved by corporate for us to use claude and ask how much faster we'll be able to move with it.

I tell them "Us engineers will probably be able to deliver some of our stuff faster but it won't have even a slight effect on the actual deliverable because we've never been the bottle neck", it's the fact that the process to get an S3 bucket allocated takes (not exaggerating) 4 weeks there.