Yeah, if you look at the Strava Global Heatmap the Pattullo Bridge is already fairly well-used. It connects the BC Parkway with Whalley and Surrey's city centre district. Surrey's cycling infrastructure will (hopefully) continue to improve, so there's every indication that cycling volume over the Pattullo will only keep increasing.
Strava's heatmap isn't super fine-grained for volume determination but the Pattullo actually looks to be on-par with the Port Mann, which I personally find hard to believe given the sad state of the Pattullo.

(source: Strava, screenshot by me)