Maybe you should BBQ a beef shoulder, chop it and shred
brisket can be very moist and tender, but it's not a comparable cut to a pork butt
No, no need at all for that. I mean, beef shoulder clod is tasty and plenty nice to BBQ and eat, and is certainly a more comparable cut to pork butt/pork shoulder. But the shredded pork butt/shoulder is also typically sauced before serving which makes it wetter by definition. And not only that, it's typically sauced with that crappy vinegar-based crap that's common in the Carolinas and other southeastern locations.
Personally I've made a crap-ton of BBQ pork and the thing is, it's much much MUCH better without those crappy sauces thrown back in. If you want to make the most delicious pulled pork ever, just throw a 1/2 foil pan underneath while you cook, reserve the juices, and reintroduce them into the product immediately after shredding and immediately before serving. That method is 1000% better than mixing the shredded pork with some crappy gross vinegar sauce that idiots in the southeast feel is necessary. I'm not kidding at all.
But beyond that, a full packer brisket is absolutely the perfectly formed combination of meat, fat, and connective tissue. When properly cooked at low temperature, both the fatty point ("moist") and the lean portion ("flat") have the exactly perfect proportions to produce tender, juicy, delicious beefy goodness.
I'll readily admit that outside of Texas, a lot of BBQ places don't get brisket right, which is sad and a little frustrating because it's a really easy cut to cook. It just takes the right hardware (most everybody has) and the correct patience (almost nobody has).