It's clearly more powerful than PS360. 6x the usable RAM, better GPU, more modern architecture, ability to use current-gen effects and engines. Even in portable mode it's simply better tech.

Comparing games is a little trickier. Skyrim is a big step up on Switch from last gen in every way and is based on the current-gen version. Doom may look like crap on Switch, but it's the same game as the PS4 and XB1 version, just with downgrades, and it would never run on the PS360 without being rebuilt from scratch using a less advanced engine. Games like Fast RMX use modern techniques you wouldn't see on PS360. And Switch games in general hit higher resolution and framerate targets than last gen did.

Comparing things like polycounts and texture resolutions is a little tricky, as for one game the focus may be on the polygons, in another its the textures and shaders, in another the lighting, and in yet another its the physics. Samus in Metroid Prime 3 Corruption had a much higher poly model than any of the character models in Half Life 2 or Final Fantasy 13, about double the polygons of their main characters, but no one would call the graphics of Prime 3 more advanced than in those games, because they excelled in other areas.

The Switch has more Ram. It also has better texture compression and should be more efficient at texture filtering.
It also has a Polymorph engine, so it easily beats the Xbox 360 and Playstation 3 on geometry.

But you are entirely correct, that comparisons by using arbitrary denominators is tricky and not entirely accurate.

It's questionable if the PS3 was "technically superior" since there were many other pitfalls in hardware. Hardware capability is defined with respect to bottlenecks and software. Calling ports "shit" is too shallow when no game design perfectly matches hardware bottlenecks for every platform ... (NFSU2 wasn't hot on the GC but it was a perfectly competent port for what the hardware could do)

Sometimes a game design will exceed on specific hardware and other hardware may not be so fortunate ... (AC Unity would be the most extreme case of where X1 had a performance advantage over PS4 but because of many other 3rd party developers targeted efforts, PS4 often comes out on top since they design their game around bottlenecks specific to PS4) 

TEV is meh for the most part (not programmable, it just has tons of configurable states) and it wasn't just some areas where the GC fell short. It fell short in just as many areas as it excelled compared to the PS2. For what it is, GC was overrated and PS2 went underrated in terms of hardware capability and the two are closer (possible about even) than what most of the hardware/enthusiast community thinks ... (it had too many real world pitfalls to be deemed "superior" and it showed since many ports suffered due to the game not being originally designed around GC bottlenecks and it's arguably one of the biggest reasons why original Xbox was able to keep up with a supercharged GC since it had programmable shaders) 

GC hardware is more lame than what most hardcore gamers believe and most people had no idea that PS2 well surpassed PS3 in terms of hardware and software design complexity ... 

Those things are only true in docked mode ... (polymorph engine is only useful for geometry amplification/tessellation but developers figure that they can just pass high polycount meshes instead since they don't seem to think the higher vertex attribute bandwidth consumption and more expensive vertex shader is a problem)

What looks best/worseis kind of a subjective metric (i mean one of the best looking games ever according to me is Okami PS2/Wii).

But the difference in amount of geometry between those two screen grabs is huge.

Did Doom guy forget his glasses?

That got an out-loud chuckle from me, good one. XD

As much as I did enjoy Doom on Switch, it's a very soft looking game due to dynamic res + aggressive temporal AA.

Turning off chromatic aberration makes it look a lot more sharper.

Yeah, that is true. One of the first things I did when I started my playthrough was to switch it off, I hate that effect.

Need for speed most wanted U was the best showcase to see how Wii U could up the visual antes from PS360. The Devs used the assets from the PC version which resulted in much sharper textures and lighting, plus the framerate was a lot more stable. Unfortunately due to shitty sales we never saw that kind of effort again for a 3rd party multiplat.