Yes, an individual website can't track you throughout the whole web and compile a demographics and interest dosier. Only advertisers have that capability because their Javascript is served up by thousands of websites. But that's the whole conondrum! Advertisers want to track, people do not want to be tracked, thus adblockers.
But it's not just that. Server logs do not give you other information that client tracking can gain such as regional and and client information.
In all honestly I would be fine losing some of the information that only comes from creating a dossier on a user and bringing the tracking in house it's just a lot of work and services like Google Analytics give that to you for free so it's hard to just ignore especially at a start-up.