I'm asking if after missing a Napalm Shot (it fails to hit and waddles away behind the opponent) that tear would count as an active one for any of Parasoul's Marquees or for her changed BB3 (Inferno Brigade).
No it doesn't count as active tear but it still triggers SAs. For example, Primed can gain enrage when doing a napalm shot even if she miss.
Sadly I can confirm that the tear is active. Biggest culprit is Summer Salt but every character gets the MA bonus as well from the additional tear. It makes shooting a tear too rewarding in cases where you just want the Bonus dmg (or Summer Salt precision/debuff removal)
I'm not sure I agree with this, because it definitely counts for Summer Salt's SA when you need three tears to explode to get precision. I'd have to test it in the cases 500 mentioned though.