Can I start a run after pressing "restart level" from the pause screen? It gets annoying exiting the level then going back into it to restart. Same thing with after dying, pressing the restart level button on the table.

I did a time test when it came to restarting from the pause menu and from selecting the game and it is the same amount of loading time.

The rules have been changed, to now deem it valid. You can restart a level run from the "Restart Level" button, yes.