Switch version is somewhere between PS3 and PS4 version, compared to PS3 version runs at higher resolution (1920x1080-1440-1080p compared to 720p on PS3, better shadows, has most of better textures, and better shading extends to ambient occlusion). But there are also some drownbacks even compared to PS3 version, it has worse frame rate and has lower draw distance.
But DF did wrote that game was built with PS3 Cell CPU in mind:
Tthe original LA Noire was built on a custom engine designed with PlayStation 3's Cell processor in mind, and this version was the preferred console edition back in the day. It was quite a sight: PS3 managed to run a massive open-world built around an impressive facsimile of Los Angeles, with fully functioning day-night cycles, weather, physics, wandering NPCs and traffic systems. All this meant a heavy reliance on the machine's unique synergistic processing units - SPUs - and the end result is that the Switch version, reliant on just three available ARM CPU cores operating at 1GHz, can suffer from some obvious drawbacks.
In any case, it's another good Switch port that could be further improved with same patches.