But yeah, if you're using individual tokens/a more tactical movement style with squares instead of the more abstracted movement (close, near, etc.) that Shadowdark is primarily designed for, the light thing can definitely be an issue.
Exploration/crawling turns in SD, while taken by individual characters, are meant to be longer and more abstract and not the same thing as individual moves in combat, so they don't translate well/directly to crawling and having players move their tokens one by one on their turns. The assumption is that the party is moving more organically together, and the individual turns/actions are stuff they're doing WHILE moving. But because the only part of that the player can do on the "game board" that the VTT map resembles is moving their token, the software's obvious user interface conflicts with the assumptions of the game.
A perhaps-useful adaptation if people are using individual tokens in SD might be to let all players have access to move all the party tokens collectively. Or just remind the players "ok, each of you is taking an individual turn during each crawling round, but you all move your tokens together at the same time". Maybe "Ok, new round, everyone move." "Now, what are your actions [go around the table]?"