Yes, I do.
Sometimes when I see a poster has a high post count and/or an early join date, I divide the total post count by the interval of days between join date and present day, and I arrive at the PPD (Posts per day) Index.
For instance, 10,000 total posts within 1 year is 27 PPD, which I can deduce the poster frequents the Forum Game and RP section, or is very chatty within user groups, or chooses to use simple low-content posts as a format for regular commenting.
A low post count may point to written out responses as a regular occurrence. Over a longer interval, it can mean the user is a lurker as they post at an irregular frequency, or they have taken a hiatus in that interval. I am one individual in the hiatus grouping.
Not the most accurate thing to assume using post count to describe behavioral post patterns and forum preferences, but hey, it works most of the time. Some users are not as active as others, so this is where the system falls apart.
As for how I view users with various post counts, the numbers hold little meaning to me. If the poster is acting like a jackass, just step away and let the mods do the work. Usually a less notable poster would be the one in this situation, as they've had less time to settle in, but the rules don't discriminate even for high-post commenters. With this in mind, the numbers are arbitrary and I look more at general behavior. Respect comes from knowing the user is a mature individual.