Right, time for some statistics. I'm gonna make a run-down of each team's first win(s) - WT and general - who, and when.
AG2R Citroën Team
First WT win: Giro d'Italia, stage 12. Andrea Vendrame. 20/5
First win: Grand Prix Cycliste la Marseillaise. Aurélien Paret-Peintre. 31/1
Astana - Premier Tech
First WT win: Itzulia Basque Country, stage 2. Alex Aranburu. 6/4
First win: Same as above
Bahrain - Victorious
First WT win: Tour de Romandie, stage 2. Sonny Colbrelli. 29/4
First win: Tour de la Provence, stage 4. Phil Bauhaus. 14/2
BORA - hansgrohe
First WT win: Paris-Nice, GC. Maximilian Schachmann. 14/3
First win: Same as above
Cofidis, Solutions Crédits
First WT win: Giro d'Italia, stage 8. Victor Lafay. 15/5
First win: Etoile de Bessèges - Tour du Gard, stage 1. 3/2
Deceuninck - Quick Step
First WT win: UAE Tour, stage 4. Sam Bennett. 24/2
First win: Tour de la Provence, stage 1. Davide Ballerini. 11/2
EF Education - Nippo
First WT win: Paris-Nice, stage 3. Stefan Bissegger. 9/3
First win: Same as above
Groupama - FDJ
First WT win: Itzulia Basque Country, stage 6. David Gaudu. 10/4
First win: Faun-Ardèche Classic. David Gaudu. 27/2
INEOS Grenadiers
First WT win: UAE Tour, stage 2. Filippo Ganna. 22/2
First win: Etoile de Bessèges Tour du Gard, stage 4. Filippo Ganna. 6/2
Intermarché - Wanty - Gobert Matériaux
First WT win: Giro d'Italia, stage 3. Taco van der Hoorn. 10/5
First win: same as above
Israel Start-Up Nation
First WT win: Tirreno-Adriatico, stage 6. Mads Würtz Schmidt. 15/3
First win: Tour des Alpes Maritimes et du Var, stage 2. Michael Woods. 20/2
Lotto Soudal
First WT win: UAE Tour, stage 7. Caleb Ewan. 27/2
First win: Etoile de Bessèges - Tour du Gard, stage 3. Tim Wellens. 5/2
Movistar Team
First WT win: Tour de Romandie, stage 3. Marc Soler. 30/4
First win: Gran Premio Miguel Indurain. Alejandro Valverde. 3/4
Team BikeExchange
First WT win: Volta Ciclista a Catalunya, stage 4. Esteban Chaves. 25/3
First win: National Championships Australia - Road Race. Cameron Meyer. 7/2
Team DSM
First WT win: Paris-Nice, stage 2. Cees Bol. 8/3
First win: same as above
Team Jumbo-Visma
First WT win: UAE Tour, stage 5. Jonas Vingegaard. 25/2
First win: National Championships New Zealand - Road Race. George Bennett. 14/2
Team Qhubeka ASSOS
First WT win: Giro d'Italia, stage 11. Mauro Schmid. 19/5
First win: Clasica de Almeria. Giacomo Nizzolo. 14/2
Trek - Segafredo
First WT win: Milano-San Remo. Jasper Stuyven. 20/3
First win: Tour des Alpes Maritimes et du Var, stage 1. Bauke Mollema. 19/2
UAE-Team Emirates
First WT win: UAE Tour, stage 3. Tadej Pogacar. 23/3
First win: same as above.
In conclusion:
Six teams whose first win in general was also their first WT win. On the other end of the scale, AG2R was the team that had to wait the longest before their first win, and their first WT win, being in fact the first to get the former, and the last to get the latter.