Speaking only to the density altitude issue and not to 4 stroke vs. 2 stroke engines at any given DA (because I know next to nada about 2 strokes), if he truly does operate consistently at 10,000' DAs, that's pretty darned high! Yeah, I fly at those DAs and higher fairly frequently, but that's not the airport DA except occasionally. So it would help to know if what he means by "operates frequently at 10,000' DA" is the airport DA or the flight DA. If it's the flight DA, that's not a difficult issue; if it's the airport DA with the flight DA going up from there, then that is an issue.
Some examples: I've taken off at Leadville, CO with a DA of 12,100' once; from Marble, CO several times with DAs of around 10,500'; LaGarita Ranch a couple of times with DAs around 10,500'; Alamosa, CO with a DA of 11,000'; Laramie, WY many times with DAs around 10,500', when I lived and instructed there.
Load makes a big difference, so that a nearly full load at 10,500' in a 180hp 172 with CS prop means climb rate is less than 250 fpm--that's roughly gross minus 120#. That's with a healthy, properly leaned engine. Cut the load by another 120#, though, and the climb rate goes up significantly, so that 500 fpm is not difficult.
But get to that Leadville DA of 12,100', and even with a relatively light load (me at 200#, pupdog at 70#, survival stuff at 40#, and 2/3 tanks), and the climb rate was still pretty miserable, about 200 fpm. I did some zig zagging through the mountains to slowly gain enough altitude to get over Milner pass at about 12,000' MSL or (on that day) about 14,500' DA.
When I took off from Alamosa with the 11,000' DA, climb rate was about the same, about 200 fpm. I had a full load--I'd filled the tanks there and already had my usual load of "glamping" gear, pupdog, etc. It was tough getting up high enough to safely clear La Veta Pass--it pretty much ran out of steam at about 10,500' MSL. Often east bound over La Veta is easy because of orographic lifting due to relatively high winds, but on that day there was (shockingly) very little wind in the Valley and none that I could detect as I flew over Fort Garland.
So I guess what I'm saying by example is that if he keeps it light and his flight levels are around 10,000' DA, I'd have few concerns. But if he's going to run it heavy and his airport DAs are in the 10,000' range consistently, it won't be a very spritely airplane.
Of course, all those examples are with a normally aspirated engine. Turbos can make a great difference. When I was in the partnership, we started with a really fine 182. Over the course of ownership, we had the engine overhauled, so it was as powerful as any stock 182 around--O-470 Continental with 230 hp at sea level. Then we traded it for a TR182 with the TO-540 Lycoming with 235 hp at sea level. The difference was dramatic. The stock Continental had lost 30% of its power on a typical summer day in Laramie, whereas the turbo'd Lycoming still had 100% of its power well into the altitude teens. With substantially the same airframe, the difference between 160 usable horsepower and 235 usable horsepower is more than just noticeable! At 12,000' MSL cruising, the Continental in the summer was down to below 100 hp, while the Lycoming was still at 235 hp, so that if there was a need to climb a couple more thousand feet or more, the normal Skylane could do it, but slowly, while the turbo'd Skylane could shoot right up there.
All that FWIW for your friend.
Cary