I'm worried by people that could use some counseling and refuse to get it.

Lot of good advice and perspectives in the comments, I don't have much to add.

The one thing that I do feel is important about seeing a therapist is do you feel comfortable with them and you are making progress. Going to a therapist that you don't feel comfortable with is very hard. I've known people who have done it for years and they don't seem to get very far. Some times people have a great rapport with their councilor but they aren't making headway on their issues, this is a trap to be avoided. Sometimes a relationship with a councilor just wears out, lots of good progress was made in a persons earlier sessions but it isn't going anywhere now a days. It can be like dating someone you love while you know it won't last but can't cut it off.

All that being said sometimes seeing a councilor for a half a dozen sessions might be all it takes to get your feet on the ground other people need years. As long as some progress is being made in the time frame of a few months (and expect to have a few set backs or harder times) than you know you are doing a good thing. Some percentage of the population isn't wired for counseling, their issues just get bigger under the lens of self examination, it's good to figure out if you are one of this tiny number of people before you put a few years in.