I can't speak for non Mil-Spec "COTI style" systems but when it comes to the AN/PAS-29A, AN/PAS-29B, and TAD (made by Safran Optics 1) the PVS-14 bracket will attach it to the lens cell.....

BUT......

ANVS objective lenses being what they are (for aviation) filter certain wavelengths of light that are used specifically in NV compatible cockpit lighting and this can render the COTI useless or diminish its performance. Most of the ANVS lenses floating around on the commercial retail market are unknown in terms of which type they are. Unfortunately, most folks including many resellers aren't even aware there are different types of filters (A,B,C). I've seen guys with two different filter types (A & B for example) on the same goggle

The safest bet is to assume your lenses will filter all light below 665nm (all colors from red to green).

If you can test the COTI pre-purchase then it's worth trying it to see if it is compatible as there are exceptions depending on the lens.

ETA: Yes, you can "test" different color lights but in my experience with these lenses you need to test with the actual display that will be used.

FWIW, anvis lenses are fantastic in terms of the image. The filters used including a minus-b and the finer focus produce a great image and they work really well around lights as well. They do lose some performance in low light compared to PVS-14 lenses for this reason however.

Honestly, for most folks a dedicated thermal monocular is almost always the better option vs a COTI device, and especially if it's a one-or-the-other decision. Or in other words, if you can only choose a COTI or a thermal monocular, then IMHO go with the dedicated monocular. It's more versatile since you don't need nods to use and a decent quality one will provide better DRI (detection, recognition, identification).

What I do with ANVS goggles is run them higher up and tilted up so I can see under them and easily use a thermal scanner (you'll have to tilt your head back a little). It's a simple matter for tilting your head down to level the goggle out to see straight through them.