So I went ahead and gave this a try.
My normal scanning method is to layer a glass panel on top of the scanner, followed by the film with the emulsion side down, followed by another glass panel. This time, I applied the anti-reflective matte film on one side of the top glass panel and tried couple experiments.
For the tests below, pay attention to the skies/highlight areas in each frame and also at the end of the film where it is clear.
Trial 1 - glass panel, film emulsion DOWN, glass panel with anti-reflective matte film facing UP: newton rings
Trial 2 - glass panel, film emulsion DOWN, glass panel with anti-reflective matte film facing DOWN: newton rings
After a quick search online, someone suggested to avoid shiny surfaces touching shiny surfaces, so I gave the followings a try with just the glass panel with the anti-reflective matte film attached.
Trial 3 - glass panel with anti-reflective matte film facing UP, film emulsion DOWN: no newton rings within frames, but noticeable at end of the film where it’s clear
Trial 4 - glass panel with anti-reflective matte film facing UP, film emulsion UP: no newton rings within frames, but noticeable at end of the film where it’s clear
Trial 5 - film emulsion UP, glass panel with anti-reflective matte film facing DOWN: newton rings
Trial 6 - film emulsion UP, glass panel with anti-reflective matte film facing UP: newton rings
Trial 7 - film emulsion DOWN, glass panel with anti-reflective matte film facing DOWN: newton rings
Trial 8 - film emulsion DOWN, glass panel with anti-reflective matte film facing UP: newton rings
Seems like Trial 3 and Trial 4 were the best so thankfully the £12 I spent didn't go to waste. Kudos to
@AndrewBurns with the idea for a quick and cheap way to deal with newton rings.