Crit team is the most flexible team to build around as of now. Many new girls have crit abilities and you have limitless possibility for them. I myself have Himeshara so I can use her in the team while holding Loquat out for now.
Counter team is great, but without any kind of rebuff as of late they look kinda pale compare to how insane crit team is and the puzzle pieces are much more limited as well. At least I have full debuff team now and I can pick Kerria if needed.
The last team however, I plan to go with wild card that will use to support the first 3 teams. Maybe Lantana (flower fest) or if Strawberry Candle got promotion, they will be in this team. Of course, not at the same time. But it would take a long time this team will be the last to finish. That, or just become indie and go with full solar drive.