I would never believe an owner/seller that told me the cats failed, so I put in straight pipes.
The air bypass thing isn't related, but could have happened at the same time, or because of his issue.
IF you believe a piece of plastic impeller could travel all that way and actually reach the cat then I guess it could have been the result of one event.
I don't believe it's possible given the travel path.
At worse you could need two cheapy cats, sort the o2 sensors, assume his failed or one or more aren't working anyway which might have been his issue from the beginning.
If you have emissions in your county or city you should be more concerned than if you don't. Maybe he would be honest with you and tell you if it would pass emissions. depends.
(if you buy it, I would buy your straight pipes if you didn't want them)
I would look at the bypass pipes, the bolts and nuts, 3 header side, 2 mid pipe side.
also, all 4 o2 sensor bungs in the pipes and the sensors themselves or the blank connectors where they use to be. ALso the exhaust manifolds where the secondary intake meets them, and the junction with the aluminum pipe that travels up right behind the engine. That's a small pipe with a two bolt flange. Look up and close to the wheel well right where the exhaust manifold meets the cat pipe. That is also where block off plates are installed. You can see them if you know what your looking for.
if you bought an 06 with missing cats, missing o2 sensors, all, and an SAI code. YOu could fix all that for less than a thousand if you wanted legal emissions. Aftermarket cats. denso narrow band o2 and stock wideband, or denso if I could prove they were toyota specific reference voltage. Nuts, studs and gaskets if you don't reuse are a little bit of money also, bypass kit I think is <200. IF you have an 06-7 you want that bypass kit anyway.
I'd buy a car like that no problem. I'd ask for 600$ off, considering selling the straight pipes, and someone already bought the SAI bypass kit and installed it and the block off plates, hopefully.
I'd hook up techstream and look a data before buying also. A bluetooth obd could get you AFR or lambda numbers, assuming the front sensors are still in place, if you couldn't get a laptop there and use techstream.
Don't be scared off if everything else on that one is good and you really like it.