Not as quick, but there are at least 4 ways to make it appear- Typing/Retyping (, Typing/Retyping a comma, Typing/Retyping space after a comma, or Retyping the dot in the method name if it has one to get the list to come back up.
I don't know if I'd like to see it all the time while hovering as they can get in the way. Possibly only while holding ctrl during hover. I'd like to see the ctrl enhanced when on the line too. Right now hitting ctrl toggles it to a really faint that could be less transparent and pressing again goes normal. Perhaps pressing control when on a line could also turn on the tip for where the cursor is too.