I "recently" owned a '92 Integra. When I "killed" it (please don't ask) it had almost as many miles on it as this car. Mine was an automatic 4 door. Mine DIDN'T smoke when I got it with about 140K on it so I can't say if I would agree about the ring assesment. Mine had the engine rebuilt at about 180K when my hard driving broke a motor mount free of the engine block in a way that was impossible to fix without replacing the engine. At the time it died, it ran pretty good though I would definitely think long and hard about getting any Honda older than about 2000 with automatic. They have almost no torque until about 2500 rpm.........yet, when I was having the engine re-built in the Integra, I was given a '97 Civic with automatic that wasn't as bad "off the line". Must be the DOHC Honda engines can't take the use of automatics.
To get back to this car: at this price point, I'd buy it then replace the whole engine with a lower mileage one. Integras up through 2000 use pretty much the same engine (there may be small variations to meet emissions changes) and if you decide to go to a different engine....well, you have many options. In my experience, the plastics (inside and out) will be brittle on these cars....or pretty much any car that's 20 years old as ozone will take it's toll. Suspension will probably need refreshing, as will cooling. BUT, it's a testament to these cars that this one is still driveable...it just won't pass any smog tests at the moment.
P.S. check for rust, especially considering it has a "new" paint job.