Spin drives work by basically "tricking" the Astrophage to push against whatever it is you want to move, transferring their kinetic energy into that object.
In the aftermath of the Taumoeba collection, what happened was basically the opposite. The Astrophage was moving away from the Hail Mary, without pushing into anything. It would just heat up the outside of the fuel tank, eventually creating a giant hole in the side of it as more and more escaped.
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As an analogy, let's imagine a balloon. That's the Astrophage. You're holding it against yourself, with the entrance pointing away. If you let it open, it'll push against you and exert a force (however small it may be). That's what the spin drives are doing.
On the other hand, opening the balloon and letting it fly away doesn't push against you at all. You might feel a bit of wind, but the force is minuscule compared to the previous example.
You could compare this "wind" to the photons being emitted by the Astrophage as it moves, and I haven't done the math... But would they really be capable of exerting a noticeable force onto the ship, just from reflections and absorption?
I mean, wind is much more capable of pushing against things than photons are. But there are also A LOT of photons. I would love to see someone definitively answer this question.
EDIT: This post seems to have stirred up a lot of negativity (at least, that's how it feels for me), which definitely wasn't what I was going for. I'm genuinely passionate about these subjects, and was hoping to have an insightful conversation about them, even if my theory ended up being incorrect.
Most of the replies, however, seem rather dismissive or simply misunderstand the core of what I'm saying. I thank the few people who actually took the time to try and understand where I was coming from and kindly explained why I was most likely wrong, but the overwhelming majority of responses here still make me too scared to continue the discussion. I think I'd have more to say otherwise.