The future is big enough that I don't think that cutting off the infinite tail helps. Look at the gigantic quantities of utility involved in hypothetical but practically grounded futures involving AI-assisted mankind reaching merely the rest of our galaxy, and according to which the most important thing for everyone to do right now is either work on FAI or donate to the SIAI. Is that a reasonable calculation, or a Pascal's Mugging?

As a rule of thumb, whenever something blows up infinitely at an infinite limit, one should consider that it may blow up practically at a practically reachable point.