Unlikely... the bulk of their revenue is based on ad payments, either on search or on individual sites. I'd guess it's probably 70:30 roughly, since you're probably almost as likely to search on google first and click a couple results. So they'd probably take a 30% hit just from loss of ads. Behavioral information from starting from a google search should also not be under-estimated which is probably where they get a lot of their behavioral data from to begin with (you searched for X, went to Y for Z seconds, etc).

adsense, analytics and search are all pillars of their core income sources, if you take one out, the value is seriously impacted overall.