Quake had great platforming. Not every platformers are Mario and Doom Eternal is still seen as a great sequel to the classics by many. Rise of the Triads, Mirror's Edge, Half Life (and its sequel), Turok and many other had platforming as their focus. If you want a more grounded FPS you should just play Wolfenstein 3D, Catacombs 3D or even 3D Tanks.
Platforming isn't that present in Eternal
Doom Eternal's platforming is not too far from Quake so it's basically id keeping their roots
Furthermore the ammo management is a you problem, you have a chainsaw that automatically recharges to get the needed ammo. It's ultimately your fault for not wanting to use it.
Addendum: Although, I agree that Ultrakill got the better platforming and air control of the two