No. The purpose of that lab print is to test the GAMUT of your screen. That is a secondary issue. It only happens after you've finished a successful calibration. Then you get the lab's soft-proofing profile to check how accurate it is.
This confirms my fears, I think. A screen's "warm" setting should definitely NOT be this high. So either it's a terrible screen (vaguely possible) or your calibrator is terrible at reading it (most likely).
You need to buy - or at least borrow - a newer calibrator, sorry.