I used to have a trek 1.1, I never washed or greased it, I don't think I even put air on the tires for basically the whole year I had it. That was the first year I began cycling. Unfortunately, it was destroyed after a run-in with a car... I then purchased a Spesh Tarmac Expert and was considerably faster (went from averaging 17 mph when really trying to 21-22mph).
I should also note that I only took the Tarmac outside after 6 months of rigorous training with a power meter on Trainerroad. If I got myself another Trek 1.1 now I'm sure it wouldn't hold me back
that much. My biggest shock was getting a power meter and realizing just how slow I was... being able to quantify that and improve it with targetted exercises yielded far more in terms of speed and ability than any single upgrade. IMO, buy a single-sided
Favero Assioma (or ask for it for Christmas), slap that on your bike, realize that you probably can only hold around 180-210 power for an hour and work to improve it!