Hello,
Unfortunately, I cannot confirm that.
Everything works.
Yes, it's true, every now and then dont counts the achievements in the story, but if you exit and click on the different modes and then go back to story mode and start the fight with everything off except 2 x Health, it works again.
It works for me... donst start next mission directly, you have to switch from the menu to the other modes and then back to story mode and start...the next mission.
Have fun testing.
bye.