I was caught doing 34 in a 30 (slowing down from a 40 zone). I wasn't given the option of a course instead of points.
If you can do the course instead of points, do it, it's far cheaper in the long run. Any points on your licence and your insurance goes up. Thankfully points come off after 4 years.
If they've made a mistake, take it up with them before you pay out though.