I get the sense that you’re emotionally attached to your argument here. Maybe it’s best to step away from whatever it is you’re trying to prove.
All synthesis is based on fundamental waveforms. Whether they are samples, single cycle waveforms, oscillators, granular synthesis, whatever. The fundamental waveform is then further modulated by other waveforms, filtered, processed, strips, repitched, enveloped, wavefolded, etc, to yield timbres. These timbres are then evolved over time to create music.
Whether something starts with a sample, a recording (same thing), a single cycle waveform (same thing but smaller), or an oscillator (same thing but usually with specifically fixed harmonic content) is totally irrelevant. They’re all timbral sources.
The distinction between a ROMpler and any synth is that the ROMpler uses the sample as the primary sound - in a recognizable format - the sound is the product. ROMplers are basically glorified playback devices. Samplers are the same but they can record their own waves.
All digital synths use waveforms as their fundamental oscillator whether that is generated dynamically or from playback of single cycles, etc. The main difference is that the source waveform is used as one component of many in the synthesis process, usually in such a way that whatever it is is not intended for direct playback as “the sound itself” - rather the modulation techniques and processing form the bulk of the recognizable timbral/spectral/evolutionary content.
@hyena’s point is the same as mine: the point of these wave synths - like granular synths - is NOT the waveform itself - they use them only as raw material in place of an oscillator. The point of a ROMpler is to listen to the original sample with various degrees of (usually slight) modification.
Intent, tooling, and practical use are what make the difference. And the difference is vast.