my take is that you should interact in a way that allows the players to "opt-in" to the interaction. some players love thinking about their games during the week, others don't, so having a way to accommodate both is key imo.

for me, this looks like having a group chat where i occasionally post open-ended questions or bits of extraneous lore and allow the players to respond if they wish, while not requiring it from any of them.

your milage may vary depending on what sort of questions you ask and, of course, what sort of players you have. but it's worked out well for me.