It's impossible to say how specialized your product should be, that's something you have to figure out very early in the startup phase. It could turn out that the niche market is far too small to be viable, or you could end up in a situation where niching is the most suitable course of action because the market is over-crowded.
Are you using professions as an example or actual market segmentation? Because I don't see how usage of a web analytics package could differ from one profession to another unless your product is very tightly integrated with the IT systems - web site, booking, planning, etc - that a profession sues.
Furthermore, are you sure that web analytics packages are difficult to work with? From my perspective, as an end-user, Google Web Analytics is incredibly easy to set up: just verify domain ownership and insert the tracking code. The problem that I have with Analytics is that I'm not sure how I can utilize all the data to 100%. So what if 30% of my visitors unexpectedly come from Spain? I would love a solution that was more problem-goal or business development oriented.