I don't want to raise false hope, BUT, you
could interpret the wording of the manual to indicate that it is only switchable whilst actually on the move (rather than simply ignition on).
"While driving, the ASR can be switched off and subsequently switched on again by pressing the ASR OFF button" (my underline).
I can't test that, as my vehicle is fitted with the additional "Traction Plus" for which the manual implies (as I would expect) with different wording that it works whilst stationery (and it does).
If it hasn't been tried whilst mobile, it's worth a try (or maybe other forumites can confirm whether it switches off (and the light comes on) whilst only "ignition on")..
Edited to add: The function is described slightly differently for the very similar Peugeuot Boxer, so I'm not confident