From my perspective, yes the shaft will be spinning too fast. Over 4,000 drive shaft RPM, you can find a drive shaft RPM calculator at the bottom of this page. Here's where running low (numerically high) gears at modern highway speeds can become a problem.
- The industry standard balancing machine only goes to 3,400 RPM. That means that anything above that can't be tested in most drive shaft shops. You enter into uncharted territory and there might be vibrations that show up at those speeds.
- Centrifugal force of any minor imbalances increases more dramatically at higher RPMs. Every time the speed of the drive shaft doubles the force of an imbalance quadruples. Think exponential but not exactly. More on that here https://wranglertjforum.com/threads/what-gears-do-i-want.51422/post-1168187. Any minor imperfections in the shaft or in the yokes or bearings the shaft attaches to are much more likely to generate vibrations at those 3,500+ RPMs. It's not a guarantee but its much more likely to occur when people are running 5.XX gears.
The theory is fine, but I question how relevant it is when 5.38s and 35's are popular already (and have been for years) and are pushing 3800-4000 rpm at highway speed (70-75) with no issues? There are a lot of 5.38/35 folks out there....they don't fit in the guidelines either, but it all still works fine. 5.89 isn't that far away from the 5.38s many folks already have.
The unfortunate problem for Jeep owners is they have the transmissions they have, and nobody wants to sacrifice performance for driveshaft speeds. The 42RLE sucks when it's undergeared, and the only way to keep it in your guidelines for driveshaft rpm is to be undergeared. Not trying to be rude or say driveshaft rpm doesn't matter....just seems like the real world success maybe could possibly outweigh the theoretical problems.
The only "vibe" issues I know of being attributed to the faster driveline speeds are the pulsing harmonic vibes, not the unbalanced driveshaft type where it feels like you're driving on the wake-up bumps. The unbalanced shaft vibes don't seem to be that much of a problem - at least, it seems to consumers that if you can balance it to 3400, it's good enough to keep going. The harmonic vibes on the other hand seem to happen somewhat regardless of the circumstances. I had harmonic vibes with 3.55 gears going 80 mph, and my driveshaft speeds were acceptable due to the 3.55 ratio.