Hi Scott,
trying to use 2 arranger keyboards midied together is not easy, especially if you're expecting one to play the styles & the other to be the soundsource for those styles.
OMB would be better suited to do that, but probably not much point using OMB with Tyros soundsource. You'd sort of be doubling up on the one kind of keyboard.

If you had a Roland or Ketron etc , then omb gives you the option of having a defacto psr.

If you have an inexpensive psr or dgx, OMB gives you functions not available on these less expensive keyboards, stuff like style editing etc.

In my case, apart from using soundfounts as a soundsource for OMB, I also use my Yamaha Clavinova CLP170 as controller & soundsource.
My Clav doesn't have styles, but using it with OMB gives me a defacto CVP. It does have a full xg soundset, so I don't need to do quite as much tweaking as I would if it only had GM sounds.
I also use my Ketron SD1 with OMB. Rather than converting a psr style to Ketron format ( conversions don't always work), I use OMB as arranger & Ketron as soundsource. The drums require a bit more tweaking because they're GM.

I sometimes use my Clavinova as controller & for piano melody (and use sd1 as soundsource for the omb styles.

The program is very versatile.

I think nearly any multi timbral, midi keyboard or synth can become a defacto psr.
The amount of tweaking the styles will require depends on whether the keyboard/synth/soundmodule is GM or XG.
Using a hardware soundsource isn't quite as complicated to get the hang of as a softsynth..

best wishes
Rikki