The ability to make a beacon beam invisible would be a nice feature! The tinted glass would "dye" beacon beams invisible: (credit: Tinted Beacons - Minecraft Mod) or you could use standard glass/glass pane. The beam could re-render when it encounters another transparent colored block (e.g. white or orange glass) in it's path like so: (credit: https://www.curseforge.com/minecraft/mc-mods/discontinuous-beacon-beams)
I also think it sounds like a cool idea, however this would be modded, not vanilla. Vanillatweaks is a website that offers data and resource packs, they have a resource pack that enables invisible beacon beams amongst other beacon beam variants. That would be a good reccomendation for your client side
I can understand. But its basically just cosmetic, and a nice QOL addition for aesthetic builders. Something that even vanilla should have. There are plenty of non-vanilla things in the server, this is just a tickle in comparison. Also I'm not a firm believer in "If I cant see it... etc". So this type of client-side mod is not something im personally interested in. Nothing I've made is solely for my eyes only.