I would ask what puts ENTERPRISE above these two shows?
Picard is almost understandable. It struggles along at times. DSC has it's ups and downs but characters for me drive that series better than most. Or, maybe that's the appeal for me is these characters who struggle along and not everyone wants those types of characters. I just see too much of Sisko or Kirk reflected in Burnham to not feel the draw, vs. Archer or Trip who just don't appeal to me.
First, ENT has more sense of wonder and excitement by the crew, at least in the first two seasons, than DISCO. PICARD certainly doesn't have that.
Second, the arcs on ENT were better executed. The Xindi arc did go on a bit long, but it worked overall, and they actually stuck the landing. DISCO has been doing season arcs for 4 years, and only the last one mostly stuck the landing. And the season 4 miniarcs on ENT were a perfect format... DISCO could learn from this. Tell the story in 3, 4 episodes and move on... don't have enough story for 6 episodes and drag things out for 6 more only to try a mad dash at the end for closure. PICARD is even worse at this.
Third, characters drive me, too. It's why DS9 has been and still is my favorite show in the franchise. I don't feel really drawn to most of these characters, not in the same way I do with other shows. It's certainly not the actors, because I like the casting choices and they do a damn good job with what they are given. But the writing feels rather... hollow. I don't have another word to describe how I feel. It's almost like boxes are being checked just for the sake of doing it instead of having it happen more organically. Boxes like childhood trauma: check. A lover turns out bad: check.
While ENTERPRISE did basically forget 2 of their leads, there was growth and development for others that drew me to them. And those things happened organically. Example: Hoshi starts off terrified of the mission and everything. By the end, she is a strong, confident officer who stands up to even the Earth President.
And I definitely don't see shades of Sisko or Kirk in Burnham. The maverick side of Kirk in Burnham, perhaps. But with Kirk and Sisko... it felt like they earned the command and loyalty of the crew. Burnham seemed to get too many scenes and episodes where she's getting a pat on the back from everyone on the ship and confiding so much with the whole crew. Kirk had Bones and Spock... Sisko had Jadzia. A leader should have a confidant, but not the whole damn crew. I feel that undercuts Burnham. And we saw with Kirk and Sisko that the crew was with them through actions, not a constant, "We're with you." Show, don't tell. I definitely don't see similarities with Sisko... Sisko was a much more layered captain.