OP - please do take it back into school in sept and get them to change it.
Even FuckingCoat admits to making mistakes in her head-spinning important job,- 'but she thinks it is a BIG DEAL'.
Thing is, if she makes a mistake on a letter or correspondence, does the JohnSmythPLC then start a AIBU to suggest it's 'poor'? Or does the company go back to her, point out the mistake (otherwise how would she know it's been made?) and get it changed to JonSmithLTD?
You have not allowed the school to correct or apologise.
And first names and surnames can be commonly spelled, but different - like Katey, Katie, Katy, Matthew, Mathew. Common spellings, maybe, but still wrong. And it's not a matter of looking it up on the 'system' if you have a list of names given to you from the class teacher/subject teacher/head.
I agree it is a matter of moments to check a name - you mean specifically your child's name. Of the 100+ done last minute (of necessity - esp for 100% attendance certificates): that would take rather more than a matter of moments.
Please take it back. Don't consider that it is because the office 'lackeys'
can't be bothered. We are busy, but the child always comes first.