I'd love to try this, but but I tend to get motion sick playing doom. It seems to be one of the few FPS games that I can't handle for more than a couple minutes at a time.
Doom is FAST.
Doom 2016 is known for feeling pretty fast and chaotic compared to other modern FPSes. Here's some gameplay footage: https://youtu.be/Fy0AoehoYb4?t=81
Compare that to Doom 2: https://youtu.be/NDBazH7aZbY?t=1350
Doom is extremely fast by design. So... it takes some getting used to.
Modern engines like GZDoom or eDuke32 have full-fledged 3D renderers, rather than the quasi-3D renderers of old. If you don't get motion sickness playing modern games, then playing Doom on an engine with a modern renderer might be helpful.
I've always assumed it was the view bobbing/weapon bobbing combo, though maybe I'm the one underthinking it.