the mystery reduces cd on combo, its not part of a passive, the chase gives a buff to combo chance not a passive or his standard, so in order to use his mystery r1 and then be able to use it at the start of r2 he would need to get a lucky combo vs the EM then myst the asuma(if he uses the myst on iruka or minato they might dodge and the EM cant be chased because of super armor passive) then get another combo against the EM, which naruto doesnt usualy combo that much without his buff so he might not reset r1 at all let alone 2x r1.

@op - easiest counter to this team is enraged kushina, focus the roshi with kushina and keep it ccd, she will remove his immunity for 1 round and has a cc chase, bring 2 healers(water main with poison tai to kill the roshi faster) to cleanse the naruto cc from each other and then 1 other person from more dmg or tankiness, killer bee works to buff kushina and give her more attacks, hokage minato for res buff and dmg, susano itachi to cc lock the EM and hit the naruto, hell a kimimaru just to tank roshi standards, masked man for stopping EM myst and dodging roshi, you get the idea.

@ICEx: matsuri is a bad example to use for anything, it doesnt give your ninjas the same stats as normal fights, i use the same team for matsuri and im always weaker in it than i am outside of it, since i have almost 200k power and im running a buff team i can see 5-10k differences in the dmg since my susano itachi doesnt have all my best gear stacked on him in matsuri