The warning marks colors the chosen printer/paper/profile cannot reproduce. If you print anyway, those colors won’t disappear, but they will be remapped to the nearest printable values. That can be harmless in some images, or it can cause visible compression, clipping, loss of detail, or even posterization in heavily out-of-gamut areas.

Soft proofing’s purpose is to preview that limitation before you print. The highlighted areas are not “fixed” by the warning itself; they are showing where the output profile will have trouble. Rendering intent matters to the actual conversion/output, not just the preview, and soft proofing is there so you can judge the result in advance.

So: don’t ignore gamut warnings, but also don’t treat them as “must eliminate every pixel.” Some warnings are acceptable if the preview still looks good. The goal is not to desaturate everything into dullness; it’s to avoid unpleasant shifts or blocked-up color in important areas. If large important regions are flagged, it’s wise to adjust saturation or color locally and compare the proof. If the proof looks acceptable, printing may be fine.