For FK, PK there are also specific laws regarding what opposing players must do in order to be in a position to play the ball (listed in 21.7 and 21.8) with specific guidance about interference. This applies both during that "zombie ball" phase but also after it. Equally for a drop out there is clear guidance for players in the incorrect position not to interfere with play (13.17.(b), "the wrong side of the 22", though I readily admit they may not be offside per se).
While the players in FK, PK and drop out scenarios may not necessarily be "offside" I would argue the cleanest and simplest read across from all of these similar, yet slightly different cases, to the original question is that players who were in offside positions prior to the ball going into touch remain so until put onside by one of the clearly defined methods under 11.2 and 11.3.
Of course, these are different scenarios but I am trying to take the best inference from other laws to make sense of the original question in the simplest form. Maybe I am guilty of "oversimplifying" but I find simpler decisions and explanations are more helpful that convoluted or complicated ones, especially when justifying to players during and even after a game.