I own a Tyros and A/B'd it with a PSR3000.
The tone is NOT identical. The Tyros has a noticibly richer, fuller sound, by a long shot, IMHO.
The PSR3000 is very nice for what it is intended for, but it is NOT a Tyros, anymore than the Technics KN2600 was NOT a KN7000 in sound.
If you're not sure, it certainly would be best to A/B them yourself, and then see if the difference is important to you or not. I know it is for me and my wife who also plays.
Best
Scott Langholff