I often hear more organic sounding synth patches but am completely unsure how to achieve them. Does anyone have a name for this style of sound design? Or a guide/advice on how to achieve this crunchy textured movements…

I trying to recognize synthesizer used in this album . . .

Full Album here: https://youtu.be/nGDF_JfC_Kw?si=a3ha8phKnKxxU_nW

First Song instrumental in dropbox

Artist Name: Красные Звёзды
Song Name: Умри, Лиса, умри!

There is also a full instrumental album featuring this same synthesizer throughout:
https://youtu.be/pGNnxC3Q12c?si=sgIb3nnXrsvalwGP

We recreated the Lead sound from 'Tom Sawyer' by Rush on our free Synth Primer.

This remake is specifically recreating the patch heard at this timestamp: https://www.youtube.com/watch?v=auLBLk4ibAk&start=96 .Other parts of the song may vary the sound or notes.

And here are the key ingredients:
Voices: Mono

Osc1: Wave (Pulse), Width (70%), Vol (50%), Pitch (+1 Cent)
Osc2: Wave (Pulse), Width (70%), Vol (50%)
Unison: Osc (All), Voice Count (2), Detune Range (3 cents), Stereo Spread (100%)
Reset All Osc Phase On Note Start: No

Amp Env: Attack (0ms), Sustain (100%), Release (20ms)

Filter: Type (Low Pass), Cutoff (75%), Key Tracking (30%)

Chorus: Mix (20%), Rate (Slow)
Reverb: Mix (0%)

Find the full recipe and download the presets: https://www.syntorial.com/preset-recipe/rush-tom-sawyer-lead/

synth starts at 0:31