True, the advantage to upscaling/remastering with the original assets is that it can be done much faster.
So when I release something I try to make it "complete" and then all the assets are consistent, unlike a Doom HD style pack that has 20 different author's contributing and looks odd to many players.
With upscaling you can do it quickly, have consistency among all assets if you actually make it complete, and it's more likely to be faithful to the original look/feel. That can overcome, ultimately, a number of things not looking as good as other projects.
I also lack the ability to redraw the sprites, and I agree that's always the best. In case of the weapons/HUD, that's particularly important yes (they are close and the player always sees them, but ultimately all the assets are important for a good consistent experience).
If I ever get my own project complete, I'll try to make a Smooth Doom version of it, more frames is an even greater impact. I prefer sprites over 3D models personally, for an experience that fits the original game. If you are from another generation and like enhanced Doom you may not care and really like a Doom HD type of pack that has many assets redrawn but fails in consistency. Alot is personal preference.
There are a few artists here who's art is totally brilliant and I'd pick it everytime, if I were a player and not trying to create my own thing. The difficulty I have with redrawn is it often varies from the original enough it no longer feels like the same game. It's a tough call.
From what I see of your upgrades, they look fine to me at first glance (I also hate pixels, and so it's a huge improvement).

In my opinion, any attempt at improved visuals is a good project, if it fits a particular niche a few players wanted. If you are having fun and learning especially, it can lead to bigger and better things down the line too....
When I say Doom HD I don't mean your own project specifically, just HD content by the community overall that create full packs for an HD experience. I just noticed that was your own project with some wellmade sprites. :O
PS, later just saw your Quake 2 skin redo's. Looks great to me!