That’s false. You can literally not only feel heat from, but you can in fact set things on fire with, a completely monochromatic green laser with a wavelength exactly in the middle of the visible spectrum. No infrared, no ultraviolet. Lots of heat transfer. You could do it with an ultraviolet laser too if you were careful enough and could get around ultraviolet’s tendency to destroy molecular bonds completely before they even have a chance to burn chemically. Any light contains a large amount of energy and that’s still true whether it’s infrared, ultraviolet, or somewhere in between.

Infrared has a special relationship with heat, yes, because of the distribution of blackbody radiation, but “No” is absolutely the wrong answer here. The right answer is “Yes, but… it’s complicated”.