I don't think Hauser's mechanic works the same way. Near as I can tell it's something the game checks between each turn. Just a guess though!
The "activation" of Accelerate going off is a bit misleading. Nobody is sure exactly what it does (as far as I know!), this is mostly just based on some tests Pyro did and some more I did to confirm them. It's possible it always activates and then adds a random amount of CT from -200 to 100 (to use the FFT interpretation of it), then caps the lower end at 0, or something like that. However, this is extremely difficult to test without a very rigorous setup, one which I'm too lazy to do. Accelerate is not something you'll build complex, precise strategies around due to its random nature. For more casual play, where it's obviously valuable, it suffices to know that:
-Accelerate is quite random in what it does, but it will never directly hurt you.
-Accelerate is not as effective on average as RFX+25% (probably around 2/3 as effective past the first turn), but
-It can be learned earlier with around a thirteenth of the effort, so as far as bang for your buck goes it's pretty obviously desirable.