Not the same sound, BETTER sound using any old Win XP laptop costing $50 and a copy XMPlay. The only unusual thing about my setup is it's sitting in my home cinema and the music is sent digitally to the amp so it is the purest possible sound of what the MOD is supposed to sound like before the cheap ass components on the A500 motherboard destroy the quality even more.
People who think a real Amiga playing a MOD sounds as good as XMPlay on a PC are tone deaf (usually in the tones from about 8khz to 20khz deaf actually lol). Signal to noise ratio on a real Amiga is terrible, total harmonic distortion is about the same as a 1978 Alba/Binatone clock radio and the hard separation of channels 1,3 and 2,4 with no possibility for even 1% cross fading all go to making MODs sound worse on a real Amiga....and that's before you even talk about pre-amp tweaks to the frequency spectrum and smoothing of 8bit samples to pseudo 16bit samples (which is actually what the Ensoniq 8bit sample keyboards of the late 80s did...and as they were all designed by Bob Yannes the designer of the SID and the IIGS awesome synth chips you can bet your ass there is a good reason for this upscaling of 8bit samples).
A simple test is either the Level 1 music for Super Stardust or the intro on It Came from the Desert, play it on a real Amiga linked to the line input on the same amp and again on any old Win XP PC playing the same MODs attached to the same amp via a coax/TOSlink cable to the digital input line.
Emulation of the computer as a whole will never come close to the frame accurate code running on Daphne/Agnus I agree but MOD playback is something PCs were doing better since the start of the century with standalone players so Paula IS technically nothing special at all, only the creative talents of the people who used it well and the genius decision by Jay/RJ/Dave to stick a 4 channel DAC on the motherboard of Lorraine 
Play the Super Stardust Level 1 module with XMPlay then play it again with UADE and compare the difference.

Then play it on an A500 and hear the dirt that makes it all the more delightful.
