Alphakill

You mean bsnes because zsnes while LLE is far from accurate.

Yes sorry

I noticed everyone has different definition of HLE and LLE.
In my opinion emulator doesn't need to be cycle accurate to be LLE because HLE and LLE are just methods so no matter how innacurate zsnes is it's still LLE.
What do you mean by modules and working out of box?

Some PSX era emulator needed a Bios dump in order to launch any game. Same for PCSX2 which doesn't run without a Bios (but I didn't tested lately).
Bios is copyrighted material, as well as system library (what rpcs3 calls "LLE Module&quot. You can dump them from your own console (and only if your country doesn't have a low that forbid that which is not true everywhere) but you can't redistribute them.
This means you can't sell an emulated PS2 game on Steam or GPlay except if you have Sony's approval even if you own the right for the game.

Of course as you mentionned older console didn't have standardised lib so if you HLE Bios you can sell the game. That's how Console Classics does, they use PCSX-R since it doesn't require a BIOS AFAIK.
In order to sell emulated PS3 game the underlying emulator needs not to use "LLE Module" but provide a custom implementation.

Defintely if GPU isn't documented/reverse engineered enough so that functions of registers aren't known and in effect they aren't directly emulated then this is probably HLE in my opinion(or inaccurate lle if only some are emulated).
Are RSX/Cell registers documented at all and do you emulate their functions?

By the way what do you think is harder emulating fixed functions with shaders or emulating shader with well shaders. I heard opinions that older consoles are harder to emulate than PS3 for instance because PS3's gpu is more similar to PC architecture.

RSX Registers are mostly documented, either by previous reverse engineering attempt or by the nouveau project (since RSX is very close to G70).

I don't think it's harder or easier to emulate fixed function or shader based gpu. It's different kind of work.
I never emulated a fixed function pipeline but I guess most of the work goes into guessing what is the influence of a given register on the final result ; you need to have a good "uber shader" or shader generator that cover all cases correctly, up to the floating point precision.
With shader based gpu you need to correctly understand shader opcode and their difference from IEEE standard. Since RSX is also not completly shader based there's also influence from external register (two sided lighting, transform program input/output, vertex attributes...) that needs to be properly sorted too.

Being close to PC architecture doesn't mean it's easier to emulated. First Xbox was the closest to PC architecture of the 6th generation and yet it's still far from being correctly emulated. And I guess it will be the same for PS4/Xbox One especially with the HSA functionnality that has currently no equivalent (except on Linux with (some) Amd APU).