EDIT: As of 2/24/17 I did find that this may not happen in all situations, but it does still occur.
I have Spider-Woman (Jessica Drew) championed. I am running her with 5 covers in her black power, “Seeking Redemption”. This power’s flavor text notes that when her black countdown tile is on the board, she always evades 70% of targeted damage, or “dodges” 100% of the damage under a certain threshold. However, I noticed that it does not block strike tile damage.
Example: an enemy has a strike tile out with a strength of 500 and Spider-Woman has her black countdown on the board. The enemy fires a power that does 3,000 damage. Spider-Woman takes zero of the 3,000 damage, but she still takes 500 damage from the strike tile. Then the enemy makes a match-3. Spider-Woman dodges the damage from the match-3, but she again takes 500 damage from the strike tile.
This does not seem to make sense thematically. If she is completely evading someone’s attack, why would the extra “power” of a strike tile make any difference? My guess is that the coding of her black countdown tile is not including strike tile damage as part of the “targeted” attack, but I believe it should be expanded to do so.