I think over here some people have got so used to using the NHS for free that they forget how to DIY the health related stuff.
I gave up going to my doctor for just about everything after regularly getting dodgy advice from them.
I only see my doctor now if they call me in (about twice a year) and rarely take their advice...just make the right noises and and and smile a bit so they think I'm taking notice of the. Then I go home and get on with it.
For a burn like that...I would just keep it clean and do what cornishmaid said...lightly cover it to protect it from getting snagged on clothes and so on.