I always used Hetman #1 on the Connstellation. The valves on the particular horn I had were pretty tight, the 1st valve in particular after I had it replated. Hetman #1 is a bit thicker than Blue Juice (which I use on my other horns), Wick, or Holton (which I never use). It tends to last longer and doesn't outgas as quickly when the horn sits for a while. I used Hetman #3 on my older (1941) Holton DB euphonium as the valves were not as tight.
Having said all this, pretty much anything works as long as you keep the valves clean.
Doug
Adams E3 0.60 Sterling bell - Prototype top sprung valves
Concord Band
Winchendon Winds
Townsend Military Band