I have some sun on the east side in the mornings, but bright shade the rest of the day. I don't care if they bloom, just so they live. I am looking for something that will get tall and not too wide and provide a screen to my neighbors dumpy place. I currently have crab apples in that area and they are doing nicely.

Yes, they will live and probably bloom in the conditions you described. Caveat: they produce a lot of seedlings, which may torment both you and your neighbors. There are cultivars that are billed as being less prone to produce seedlings, e.g., Blue Satin, but in my experience, Blue Satin produces a lot of seedlings. Perhaps others can comment on whether there are any cultivars that produce NO seedlings.

Rose of Sharon also lose their leaves in winter so you will have to look at your neighbor for part of the year. As you don't care if it has flowers, you may want to look for something that's evergreen.

I hope seedlings sprout up everywhere and my neighbor is miserable Nine of his cats sprout poop in my garden everyday while playing jungle

do japanese beetles eat them up?

the plants, not the cats-already found out beetles don't like cats apparently- didn't phase 'em

The Japanese beetles will not touch the ROS. My neighbors planted several on the property line to screen us out and the beetles only touched my roses and blackberries.