Hmm, so that's why you're all in here. I had no idea that this thread turned out to be about something other than the title. Do we need to move somewhere where we can find it in the archive? (-:
I suspect that the terms 'comma splice' and 'run-on sentence,' which many middle-aged AE speakers will recognize and all educated ones should know to avoid, are AE.
I have even wondered at times if punctuation as a topic related to grammar is actually addressed in BE schools, at least in any systematic way, though I'm glad to hear that at least some individual teachers mention it. I often read on the Guardian website online, mostly about soccer but sometimes news, and there are often half a dozen of these glaring errors per day, along with dozens of others where a comma is needed for clarity but is missing. (Not to mention errors like using 'may' for 'might.') I know, I know, Grauniad and all that, but really, I wonder if those writers, or their editors, ever went to school.
Of course I wonder the same thing about Americans who misuse 'lay' for 'lie,' or 'shrunk' and 'sung' for 'shrank' and 'sang.' But really, sentence punctuation was a topic our teachers harped on, year after year, because for people who have trouble parsing sentences, which is most average students, it's not self-evident; you do have to learn a few rules.
The resource I have been recommending on LEO for years, which might even be where Gibson saw the terms, is the OWL (Online Writing Lab) at Purdue University.https://owl.purdue.edu/site_map.html
If there are any similar nonprofit educational BE websites with advice on academic writing, perhaps they would have some name for that category of error, even if it's not as well known to the general public. Open University, maybe? Any other ideas?