By far.
Is there any evidence that web apps of today are faster in achieving what equivalent non appy web pages of the past managed? Despite the fact that those older "apps" were running on computers which were orders of magnitude slower than our cell phones today.
I've worked with 2 companies now where their users (and both these companies have users who pay 4 digit annual fees per user) have refused to migrate to the new Web 2.0 apps these companies have tried to foist on them.
The difference in these cases is that the users, by virtue of paying, actually have a say and so have required the companies to provide parity with the older and newer applications, and usage continues to not just be higher, but grow faster on the older versions (despite having a larger base).
Regular users have no such option. Google changes GMail, but its users still insist on using the older versions of the app, which is why they provide HTML mode, etc. However, it's users do not pay Google, and are forced to go with whatever Google wants to do, which is constantly hiding the older version and making it progressively worse to use.
It's not evident to me at all that regular users "want" to use these new web 2.0 apps, as much as they don't have a choice.