Which Jobs Really Require an FS Poly?

I’ve been applying for jobs for the past couple of months under the belief that I had a full-scope polygraph. A colleague today happened to mention that everyone I work with just has a CI one. I haven’t received confirmation, but that’s almost certainly the case for me, then.

I’ve gotten some offers recently from contractors for intel analyst roles. Of course, I’ve been telling all of them that I have an FS poly. They probably haven’t checked my clearance yet, but I told them what I heard as soon as I found out about this problem.

My question is: for what sorts of jobs and/or agencies is having only a CI poly a deal breaker? Many job descriptions list it as a requirement, but is it really in most cases? Do some contracts let you start with CI with the expectation that you’ll have to pass an FS?

Panicking a bit here, since I had been excited about these offers and other interest from recruiters, and I’d be awfully disappointed if this foreclosed most of the opportunities I’m interested in.