That's right. At musiciansbuy.com, the PA80 goes for $2050.00 with the vocalizer, a vocalizer that isn't as good as the PSR2000's - and if you're performing live, you want that good vocal sound. You can get a PSR9000 for around $2050 (I've heard of less). You can get a PSR2000 for about $1050 - and perhaps get a 2 year warrantee thrown in. So we're talking about approximately a $1000 difference.
I'm a gigging musician. I normally have two gigs a day. When you practice for a gig and you use arranger keyboards, you can't really practice on another brand of keyboard - you have to have the right style, you might have to do some editing of registrations, styles, voices, etc. I own two PSR2000s that I got for $2100 including shipping and extended warranty. One stays in my car trunk and the other stays in my studio. If I want to practice for a gig, I just turn on the keyboard in my studio and start practicing. Perhaps I have to fetch my keyboard floppy files from my car to edit some styles or registrations.
If I had only $2100 I could buy one PA80, and I'd have about $50 left over. Then I would have to be shlepping a 35lb. keyboard out of the trunk and up and down the stairs - add the gig bag or case. If I came home for lunch and had 1 1/2 hours between gigs, I wouldn't even bother to get my keyboard unless it was an emergency.
If one of my PSR2000s breaks, I have the same exact keyboard to replace it. If my one PA80 broke, well I'd be in trouble unless I had a plan B.
The fact that the PSR2000 is in the PA80's league - and it is, makes it a best buy in my opinion. I was only able to look at a PA80 very briefly, so I can't make a truly informed opinion. But from what I have heard about each keyboard, it would be a difficult choice between the two only if they were the same price. I think the ease of use, better vocalizer, and access to the many stunning CVP209 styles would make me veer toward the Yamaha, but the PA80's superior voices and access to hard drive would make me pause - if the two were the same price.

Larry