As stated above, WLP-001, US-05, and Wyeast 1056 are (or at one point were) all the same, just different labs and forms.
In my personal experience, the fermentation profile is effectively the same for all 3, but there are differences that I take into account depending on the beer/recipe. In particular, US-05 is much more reluctant to clear than either of the 2 liquid variants, even under refrigeration. Generally, US-05 takes 1.5-2 weeks longer to reach comparable clarity in my experience. Clarity isn't of #1 importance for most homebrewers, and I don't freak out about it. Where is starts to matter though is in hop-forward beers that should be consumed fresh. Since the US-05 stays in suspension longer, perceived bitterness in the finished beer will swing wildly over the first month of it's life in the fridge. So if I'm making a nice dry-hopped IPA that I want to start drinking 2 weeks after kegging, I'll avoid US-05 because the perceived bitterness at the 2 week mark will be much higher than the balance I was shooting for. A few weeks later, the bitterness drops to intended levels, but the dry hop character is already fading by then.
Long story short; If it's a beer I intend to condition for 1 month or more, I'll use any of the 3. If it's a beer I want to drink fresh, I avoid US-05.