That they remember SG characters care about the wellbeing of creatures regardless of identity and stand up for the underdog. They wrestle with moral dilemmas and work towards a better tomorrow.
That they remember that fantastical stories are good when they are grounded in rules (no magical solutions). When puzzles can be solved with the tools available, it’s a good Stargate show.
Jokes and campiness make Stargate Stargate; but meeting a 1 joke per minute quota isn’t the way. (Don’t be a Marvel wanna-be)
My hopes / wishes for the new Stargate show: