The matter is the Paula itself generates nothing. Be it a sampled or cpu-generated waveform, there's still NO SYNTH. There is no synthesizer inside the Amiga. Period. Call it what you want, but you can't call it a synth.
But DACs generate their characteristics and the Amiga has a characteristic one. You can't reproduce precisely in an emulator, but the emulator is pretty spot on.
If you wanna analyze it more in detail the VST instrument Chipsounds supports Amiga sound emulation and you can load samples and play them either in modern, interpolated way or using Amiga style lack of it. You'll notice the difference right away.