What I truly wonder is, does hopping between positions within one employer count as job hopping? If I stay with company X for 5 years, but every year, I have switched a position ( e.g. tech support engineer -> QE -> software engineer -> Evangelist -> manager), would that disadvantage me on the job market?
Or would I get bonus points for wanting to stick with the company X?
It depends on the company and their needs. In the majority of cases, I would say this is a positive thing for your resume.
If their goal is to hire someone for a specific position and they hope that person stays in that same role long term, maybe not so much. Companies are generally happy to just have you stick around, though - if you are moving within the company, you should in theory still be providing value to the company, and potentially even more value, if the moves are upwards.
Or would I get bonus points for wanting to stick with the company X?