Someone correct me if I'm wrong, but Gore-Tex Infinium is just the re-branded Windstopper, or a variant of Windstopper. Windproof but not really that waterproof.
Gore-Tex Shakedry is a breathable waterproof material that works in a completely different way from typical waterproof Gore-Tex materials. Also, delamination isn't a thing with Shakedry. I have a Shakedry jacket for running/cycling, and really love it.
Edit: Also I just realised that Shakedry and Infinium Acronym jackets are both tagged FO, so my bad