I know Sega and Namco operated some arcades, but mostly companies sold arcade machines and operators ran them. Coin boxes didn't connect to the developer except that games with good earnings sold well.
Whereas a game like Arma 3 has its own dedicated servers and has no such login requirement so theoretically you could still play that in 50 years time, but that might still depend on Steam DRM.
We have a lot of client side controls right now on DRM and logins which make the dedicated server only part of the problem.
However, allow me to ignore my opinion for a moment and play the Devils Advocate for a thought experiment.
What if, cosmetics and other unlockables (which should be part of the base gameplay) were instead evaluated on other people's computers. That is, rendering client side, authentication for use also server side.
Hats / Skins / Other -- Render some 'humiliating' cosmetic if authentication fails. Circumvention would require compromise on all client devices.
Core game assets -- Levels / 'mods' that require auth a similar path, except client/server verification mismatch. Do note the license server as a possible cause.
At end of life all of those checks should be patched in a final release to fail enabled. No more auth server, archive mode releases all use.