I'm pretty much 100% sure there's nothing wrong with the screens. I tried it again and it did the same thing...
In my formulations of ink that I make, I use 3% of Matsui Retarder to help prevent my ink drying up and clogging my screen. I have noticed that this retarder has an oily texture to it, which would make sense if we're trying to keep the ink 'moist'.
My theory is: somehow, someway, I did NOT use retarder the first time I tried the boxes and that's why I shouldn't have used it this last time. I believe my ink was bleeding this last time not only because was the ink deposit fairly excessive (very open, solid text through a 156 mesh), but there was also an additive added to the ink making it more viscous, moist and prone to spread/bleed when pressure was applied to the second color screen.
I don't think it was necessary to add the retarder to ink that was being pushed through such a moderately low mesh, especially if I had enough ink in the screen.
So.....how did I fix this?
I just threw some red plastisol in there and powered through it. The plastisol added a kind of gloss to the red also which was a nice touch. It also did NOT bleed barely at all.
I hope to revisit this problem in the future and give an update on the results.