Well if you would be more specific and elaborate your question, I could answer in a better way. BTW, why would site ranking affect your browsing activity ?
You know what, its really hard to answer these kinda one liners where even the OP is not sure what he is asking try to explain your question as briefly as possible to get the most useful answers. between, did you mind to edit your post after reading several responses about the same
For me, I also do not browse for fun with all my SEO tracking or indicator tools turned on. That would be a pain. In general though, from a purely SEO standpoint, as in how the site ranks within the pages of google and the titles and descriptions... I tend to only browse the first page. I skim all of the first 10 results, and click on the one that is the most relevant or compelling (not always one of the top 3) if none of those are what I need, I go beyond page 1.. sometimes several pages beyond... but the majority of people will not do such things.