I would limit this to cases where the dependency involves trusting an agent's judgment (or honesty). I am not very good at figuring such a thing out and in cases like this whether I trust the agent has a large impact on the final decision.
But in this case, advocates for veganism are not being agents in the sense of implementing good/bad outcomes if you choose correctly/incorrectly, or personally gaining from you making one choice or another. Rather, we are just stating an argument and letting you judge how persuasive you think that argument is.
You can name an arbitrary figure for what the likelihood is that animals suffer, said arbitrary figure being tailored to be small yet large enough that multiplying it by the number of animals I eat leads to the conclusion that eating them is bad.
The probability that non-human animals suffer can't be arbitrarily large (since it's trivially bounded by 1), and for the purposes of the pro-veganism argument it can't be arbitrarily small, as explained in my previous comment, making this argument decidedly non-Pascalian. Furthermore, I'm not picking your probability that non-human animals suffer, I'm just claiming that for any reasonable probability assignment, veganism comes out as the right thing to do. If I'm right about this, then I think that the conclusion follows, whether or not you want to call it Pascalian.
But in this case, advocates for veganism are not being agents in the sense of implementing good/bad outcomes if you choose correctly/incorrectly, or personally gaining from you making one choice or another.
Human bias serves the role of personal gain in this case. (Also, the nature of vegetarianism makes it especially prone to such bias.)
The probability that non-human animals suffer can't be arbitrarily large (since it's trivially bounded by 1),
It can be arbitrarily chosen in such a way as to always force the conclusion that eating animals is wrong. Being arbitrary enough for this purpose does not require being able to choose values greater than 1.
I'm currently unconvinced either way on this matter. However, enough arguments have been raised that I think this is worth the time of every reader to think a good deal about.
http://nothingismere.com/2014/11/12/inhuman-altruism-inferential-gap-or-motivational-gap/