First of all, thanks for the attention.
Then, yeah, I like the latter proposal (it reminds me the core mechanic on which the Breathless ruleset is built).
However, in my pamphlet physical Augmented version I have no "Once per Run" text... I have to say that (sadly) I chose to buy the Italian version, however I feel somewhat baffled 'cause there are several typos and bad choices for the translation. I'd need to compare it closely to the english version, but I don't want to "buy it again"... :(
EDIT: I'm also checking online text here: https://cbrpnk.cabinetofcuriosities.games/docs/en/runnerfile But I can't find that part you mentioned; is that an older version of the rules?