Thinking of swapping out my LSi15 for some Tyler Acoustics

In this instance, bigger isn't better.

If you are a Klipsch guy and love that horn sound, the PD 30 may be your huckleberry.
The PD series is based on pro audio drivers from Eminence and if you were looking to do a high efficiency, low power system like SET or something, you would be golden. Or even a home theater based around them.

But they are going to be a completely different animal than your LSis. That isn't to say they're bad...just different.
Will they be an upgrade from the LSi15s? Only your ears can tell you that. The pair that I heard were in a HT system and they did well for that. But the system was in a dedicated theater room and outside of concert blu-rays, I wasn't impressed with the musicality of the PDs.

I think that would be the better option.
If the Tylers were a steal of a deal, buy them, try them, resell em if you don't like em.

As said, they aren't bad but they are definitely a different animal.