stay means pause or stop going forward. Lower court definition was stayed and that should be considered a win.
The three Conservatives simply wanted a more blunt statement; but it would have been to the same practical effect.
Only the part of the ruling unrelated to the definition of “close family” was stayed. The Hawaii Judge’s expansion of the definition to include grandparents, grandchildren, aunts, uncles, nieces, nephews, cousins, brothers-in-law and sisters-in-law remains in effect (meaning these additional relatives must be let in immediately from all countries).
http://wtvr.com/2017/07/19/supreme-court-grandparents-relatives-can-enter-us-despite-travel-ban/