The point of this mod is to behave the same as vanilla does. I don't know how exactly do Factorio Extended beacons behave (I'll check), but I guess it would be possible and somewhat make sense to support that. I don't consider it a high priority but I might try to get to that someday.
I guess this guy already did that. https://mods.factorio.com/mod/built-in-beacons-fe-plus I find the result visually appalling, but that's in line with Factorio Extended. I don't think I'm interested in trying to match that. I'm also personally extremely uninterested in "everything tier +1" mods so as long as zombieland4942 has his version of my mod functional I don't find it necessary for me to add support for FE.