This is a hard issue to debate if you reject historical fact.
Wolfenstein was a major success and had tons of clones, Doom becoming a bigger game later on doesn't erase that. W3D's success is what made the publisher even publish Doom in the first place. There isn't anything you can not agree with, there were plenty of FPS games before and during the year Doom released in 1993 and the term was used, that's not something you can't agree to because it historically happened.
Halo was more successful than doom, using your logic Doom wasn't meaningful and didn't cause the genre to take off since Halo caused higher growth and made FPS games much more accessible than Doom ever dd. As you can see that logic doesn't work. Doom's legacy isn't erased because Halo was more successful, yet that's what you are dong with W3D.
There are not "plenty" of FPS games before and during the year Doom released. What games are you talking about when you say this?
When it comes to establishing a genre or sub-genre, the things that came before are not erased, but they are also not given full credit when they themselves were not what triggered the explosion in popularity and copy-cats. Winback does not win over Gears of War, for example, when it comes to 3rd-person cover-based shooters.
Wolfenstein 3D sold 200,000 copies in its first year. Doom, thanks to the shareware model, was installed in some form of another on over 10 million computers, and by the end of 1995, was said to be installed on more machines than even Windows 95, prompting Microsoft (and a team led by Gabe Newell) to really prioritize native gaming on Windows 95, starting with a Doom port.
Wolfenstein 3D was a basic corridor shooter that barely qualified as 3D. It was impressive at the time, but there were numerous key differences with Doom that were the main cause for it becoming the genre-definer that Wolf was not. Altitude differences, non-orthogonal walls, full texture mapping of surfaces and varying light levels to create environments that actually had atmosphere and overall just far less static architecture than Wolfenstein. That's not even getting into the enemy and weapon variety and other gameplay differences.
Possibly most importantly in terms of Doom's legacy was the introduction of the multiplayer deathmatch concept, which really became the staple of the genre going forward.
Also, less about establishing Doom as a genre perhaps, but Doom and its underlying Id Tech 1 also really introduced the concept of engine licensing.