Inquiries can only be counted on a per bureau basis. You originally stated inquiries present on EX, but later sounded like you were comparing them to the inquiries on your TU report. These are different bureaus, so they'll have different inquiry data.
However many inquiries you have on any given bureau (TU in this case) in the last 365 are scoreable inquiries by the Fico algorithm. It sounds like you have 4 within that time frame, so 4 are being considered by Fico scoring.
What a CMS says really isn't relevant, as their front-end summary software is just there for fluff. They can say you have 4 scoreable inquiries, 2, 8, etc. and it doesn't matter... just know that the Fico algorithm is considering 4 in your case.
HPs in the grand scheme of things are super irrelevant, almost like pissing in the ocean. Those that reference problems (app denials, etc) related to HPs 9 times out of 10 have something more significant going on with their file than HPs such as negative items, high utilization, young history, thin file, etc.