I don't think it's a break in period so much as our learning the technique correctly. It's not like opening a normal one hander. Aside from what was said above about no follow through, I think there's an angle at which you need to push the stud, though I can't explain what that angle is. Once that angle is correct, it needs very little pressure to get the knife to open. If you don't get that angle correct, the knife won't even open a fraction no matter how hard you push at it.
I remember I made my thumb sore the first few days trying to get the Whirlwind to open consistently. After a 10 minute struggle I'll get the hang of it for the night and put it away. The next night I end up having trouble again. It wasn't until a few nights in a row that the correct action starts to get ingrained in muscle memory and I can open it with barely a touch of the stud. When I let my friend try it though, she couldn't do it consistently no matter how much I coach her. So it wasn't that the mechanism softened up as it was that she hadn't gotten the technique down. Just keep practicing, it gets easier.
The speed safes with the flipper are much easier to open using the flipper.