Nice pics! Other new members need to realize they must supply pics when they can too.
If it's already done, just use it, enjoy it and leave it if you have no problems. Some of the code nazis here might say otherwise.
For other DIY reading this, you can always cut the ends of joists and turn just that end to a 2x6, and get the correct metal bracket for it too, and sister it if necessary.
I remember I did a tight job once, and was only able to sister joists with 2x4's. Many think that is bad, but a 2x4 sister is better than none at all.
2" is already good enough for tubs, and lets you select a trap with hand nuts and a cleanout. A tailpiece coming down from a tub can be left as 1.5" (OS&B has them that are 12" long), as a block rarely happened here, then adapted into a 2" trap, plenty of space for hair, lego bricks, etc.