EOS (Epic Online Services) or other "online components", as long as they do not cause a game to become DRM locked = online only, it does not matter if it is still available on a build or not.
Considering the game "Control", as far as i know all versions GOG, Steam and EGS are almost the same build with only very minor tweaks to the GOG version. Which means, bugs happening to the GOG version will or should affect the Steam or EGS version as well.
However, the Steam build got DRM. The EGS build is without DRM and could be run directly from the executables, comparable to the GOG version but without installer of course.
Steam build got 3 "newer" updates but not sure this bug has been addressed there because those updates was basically adding DX11 (apparently it was previously disabled on Steam) and Offline mode to the Steam build. No info regarding bug-fixing.
Apparently even the Steam version got this bug but no clue regarding the EGS build. A lot of people seems to know "how to fix it" on the net but not sure it really works, a lot of guessing here. It seems there are near countless solutions, hinting to a "stability issue" which is kinda Pandora´s box because endless sources possible and every little solution able to "Increase stability" might work.
Perhaps this fix may work,
https://community.pcgamingwiki.com/files/file/2581-control-hdrultrawidedlssrt-patch/ as it basically makes changes to the "graphical interface" and even "restoring" the EGS-save interface, which could be the source of the bug. As... most people seem to use this "patch", they might not be affected by the bug anymore.
Pretty possible the EGS version is without this bug because it was the "initial version" the dev was most of the time working at. The other versions kinda got "added settings" which could be creating issues with the game stability, unless some patch is basically restoring some old settings.
Just be aware: The old saves will not work anymore using this patch, at least not without some modding! So best to use this patch on a new game!