No. The coating blocks reflections by wave-cancellation inside the coating layer because it's 1/4 wavelength thick. The reflected ray from one side of the coating is 1/2 wave out of phase with the reflected ray from the other side and they cancel.
If the wavelength is wrong, they don't cancel. If the wavelength is twice as long, it will constructively interfere and you've just built a more-efficient mirror!
1000-2000nm is deep IR. Visible is 350-700nm, which means the 1000-2000nm coating will do nothing or maybe make reflections worse. You need the 350-700 version if you want it to work in the visible band.
Capturing 2000nm (2um) IR requires a cooled sensor and optics. You're not going to do it with chemical film - if it were sensitive to those wavelengths then it would expose itself as soon as it (or the container or camera its in) reached room temperature.