That will depend in how they try to fix it, unlike the X-Box 360 which uses software emulation, the PS3 has a combination of CPU and rasterizer chips used in slim PS2 (EE+GS), it's unknown if they will either make a patch, a bios update, or release a new hardware revision.
Another problem is that the PS2 slim has problem even with PS2 games, the v14/SCPH-7500x (silver model) has been reported to have problems with games:
http://www.gamespot.com/ps2/action/tekken5/news.html?sid=6136677They probabily used v14 hardware for the PS3, though it's unknown, they both have near realese dates.
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I would be more troubled about how they fix their PS2 that is unable to run PS2 games, the v15/SCPH-7700x is already being manufactured, I don't know if they have fixed those problems.