When we stabilized the crude oil to reduce its vapor pressure to the allowable limits prior to loading it on ships, we could also stabilize to a deeper depth and reduce the H2S to a few ppm when running crudes with more H2S.
All we used in Saudi Arabia was an absorber column (no condenser) with a fired reboiler. Crude was fed to the top tray and stabilized crude came off the bottom with a target tray temperature being maintained. Likely not the most energy efficient arrangement but that wasn't a major issue there. I don't remember the number of trays, it wasn't that many, 10 to 20 perhaps?