I think some players never really played a solo game before, seriously.
Solo modes have pause buttons. Go all the way back to the games in the 80s, it had a pause.
ED is a hybrid game, but there is no reason to not have a pause option in solo mode (especially when logging on again maybe longer than making a sandwich, eating and then going to the restroom -- that login is long). In WoW, a MMO, it doesn't have a pause button but the same effect can be achieved simply finding somewhere safe to stand (or fly) -- so, really there isn't an excuse even for a persistent world.
The issue clearly is FD just trying to create a one solution fits all, so they don't have to spend (waste?) unnecessary time on one specific game mode.
As it stands no matter what mode you're in, the mechanics are basically shared across them. Which isn't necessarily such a bad thing, and is certainly better from a code/exploit POV.
At the moment, worse case, you press ESC and select "Save and Exit to Menu"... Done. It takes a few seconds. If you're in combat, you may have set off at full speed and wait for 15 seconds.
With any of those you can rejoin basically exactly where you left off.
And should something serious happen, like your mother dying (I can't believe you actually used your mother's death as discussion point regarding a pause option?

) just shut the machine down/nuke the process. You'll return exactly where you left off.