Doom 2016 was a nice tribute I suppose, but compare it to the massive success of Doom 1&2. It's not the same sort of cultural phenomenon. What I will give it though is it nailed the attitude. Doom 1&2 had a certain raw metal attitude, and Doom 2016 captured that well. I've never seen the HL series expressing attitude like Doom did.
What Valve really wants to avoid is a Doom 3 moment. When an old franchise is given a modern tuneup and the result is something nobody really thinks does the IP justice.