Having Jawg on team increases his current chance of getting a trophy yes but that's not the reason why he's never got one. The Guard with neT and Tex without jawg was enough to 3-0 him when he was on c9. 2024 G2 roster with Leaf + Icy were much better than The Guard with neT and Tex.
During Americas Finals against 100T trent was bottom fragging and Leaf himself was peforming worse than Icy who was top 2 KD all maps.
Everyone on a team is responsible for G2's result. If they ran it back this year with Icy the chance of winning at least Americas will be less yes, but that doesn't mean they definitely couldn't. You need everyone besides the duelist to perform as well especially when Jawg is currently playing a lot of supportive Yoru. That convincing win against C9 wasn't a Jawg diff the other 4 were playing better than they did when they lost last year.