I think it deserves a category to run as it'd be fun to run the game in such a chaotic way. It's fun.

Meh, doesn't really change much speedrun wise, but I guess it could be interesting

There's no point in having a category when nobody has done a run. If you end up doing a full run, sure, post it here and we can add a category for it.

(personally, I think it stops being interesting when you think about what the actual fastest strats would be - throwing grenades and restarting mission until you happen to get whatever vehicle is optimal for the mission)