True that it mixes 2 channels to the left and 2 to the right. But it does not require you to use the CPU to resample all the sounds to a specific frequency. It supports a giant range of frequencies and just mixes the different samples of different frequencies together like magic. And it does the mixing on its own with DMA. One DMA channel per DAC.
I'd say that analog summing is nothing like "magic" but I understand how someone with no idea about the subject might use that word.
Hardware mixing of multiple buffers with arbitrary pitches is a pretty basic feature of PC sound chips since more than a decade back, and before that, hardware wavetable synthesis with RAM big enough to easily accommodate the max total sample size of mods were prevalent.
DSPs, allowing CPU-free realtime effects like reverb, 3D positioning, dynamic compression, gain control, seamless and invisible resampling and mixing of a great number of input streams are ubiquitous. Whatever obscure feature the Paula has that a modern PC sound chip is missing was left out because it isn't necessary. Quite oppositely, they were there on the Paula because they made practical sense in a setup with very limited CPU and RAM resources. Frankly, I love the Amiga sound, but I'm not going to pretend that the Paula is technically superior to modern PC sound chips or even an AWE32 in any way. Horribly non-linear DACs, its totally unmatched architecture and its limitations is what gives it its great character, but it can't match your average on-board cheap PC sound card in terms of fidelity, features and flexibility. Even a lot of the features I've described that apply to most sound cards are frequently left unused because doing everything in software has so little overhead on a basic PC setup that it doesn't matter.
You're really awful at discussing these things, too. You fail to acknowledge when you are proven wrong and keep coming back to points that have already been adressed and refuted in previous posts. In terms of a metaphor, you very quickly paint yourself into a corner, but apparently you don't mind stepping in paint.