I wish it wasn't true - but if there is a native app available for a website/service i wish to use - I choose native app almost all the time. Each of these services have a 100% work website & maybe a mobile-web: - Ebay, Amazon, Mint, SigFig, Homejoy, MerillEdge, BofA BillPay, PizzaHut, Dominos... Somehow using their native app feels solid, real and not flakey. I don't have a feeling that I will loose my shopping cart or be logged out due to an error/network connection etc.

I am a big advocate of truly native mobile web, but honestly the first thing i look for when i love a service or website is: "Do they have an iPhone app?"