It doesn't matter where visitors come from, but do their behavioral factors affect the ranking of the site?

Question

Search Engine Optimization

If I understand correctly, search engines through their browsers (and not only) collect the behavioral factors of users on sites. It doesn’t matter where visitors to the site come from, even from advertising purchased from the search engines themselves, but if people linger on the site, will these be positive PF and will they lead to an improvement in ranking? Those. if advertising is connected and creates a flow of visitors, then in order to improve ranking for certain search queries and, together with advertising, also attract organic traffic, will it be very important first of all to make the site such that people would linger on it?