You are (or I suspect your LLM is) not correct about Doom using a raycasting engine. Wolfenstein fits that description, yes. Doom rather famously introduced BSP for level data and it draws sorted polygons front-to-back without ray-marching.

technically yes, most constrained-platform ports (as I remember) do the same though (DOOMQL, the TI-84 version, the Excel one) since BSP is hard to fit into a limited VM. "DOOM-style" here is more about the genre than the rendering technique

It's not really a "DOOM-style raycaster" then, it's a Wolfenstein 3D-style raycaster.

Pretty cool though!

Thanks!