Hi jackn2mpu
Some things has been answered. But let me add this directly to your post and question.
you say:
"Samples can give way more complexity to the sound than just harmonics ever can. You would have to have an infinite amount of harmonics to re-create what a sample can do/sound like."
No you only have possible infinite harmonics in a sample if the samples sample rate is infinite.
I theese days many talk about using 192000 HZ sample rate. So lets be crazy and say we have a sample sampled in 196000 Hz and play a fundamental note at 20 HZ. Then you'll have 192000/2/20 = 4800 harmonics in the sample including the fundamental and only if the sound you play on that 20 HZ note have those harmonics in the sound.
24 harmonics cover 4 octaves + a fifth above the fundamental note played if the sound have those harmonics.
A drawbar organ having a 16 feet and a 1 feet drawbar reach 4 octaves if you use both those drawbars. But it don't have all the harmonics between. Just to set it in perspective.
Also consider the purpose.
And then you ask me:
why does one need to extract a waveform from a sample? A sample IS a waveform; a complex waveform but still a waveform."
Synclavier did'nt use a whole sample for frame based resynthesis. It extracted calculated waveforms like you can read in the PDF in the post you said was well put by Koshdukai and in other places including in the availble posts and material in the forum about the subject. You can read reasons in the PDF too.
So if you wan't the original Synclavier feature that you and others request, then you need to extract waveforms from your samples, use points and use "Morphing" between frames, and use the needed time to do so.
Perhaps Hartmans Neuron used samples for resynthesis in another way.
Are you sure the feature you actually wan't is'nt excisting in samplers and other synths allready?
EDIT:
Found this. It's still speciel rendered samples but perhaps more what you are looking for. This i perhaps could use. Think it do things in a different way than other synths. But it's possible to create sound in that direction using softsynths and effects. Perhaps not quite the same.
Neuron Synthesizer Intro Axel Hartmann:
https://www.youtube.com/watch?v=MWIH6zhKR8sHartmann Neuron Demo Part1+2
https://www.youtube.com/watch?v=AeumP2tRqpQhttps://www.youtube.com/watch?v=4Zmnj3AmSbYHartmann Neuron Demo - More regular sounds.
https://www.youtube.com/watch?v=4mvPVxPeU6wEDIT END.
Best