As the young teachers will likely be having Pfizer/Moderna, I'm not sure why they have been so strict on the 8 weeks anyway. It's licensed, and effective, for anything over 3 weeks, which was when the manufacturers initially said the 2nd dose should be given. The whole UK then changed that to 12 weeks because of supply issues, and then when delta emerged and there was greater risk of people catching covid between jags (and it screwing up "freedom day"), back to 8. I think there is some research that immunity does build with the mRNA vaccines up til 8 weeks, and more slowly up to 12 weeks for AZ - but given the second jag is boosting the immunity anyway (and then further boosters as needed) I don't see why Scotland has stuck so rigidly to 8 weeks, at the expense of under 40 teachers not being able to be fully jagged before now. Just consistency, I assume, but it seems very inflexible. Vaccine centres have been working way under capacity all through the summer, so why they couldn't have offered it to teachers after 5 or 6 weeks, say, I don't know!
It's been an issue for people trying to travel for work, too. One of DHs colleagues was offered a job in Germany, but they have a rule you can only enter the country if double jagged (+2 weeks). He had one jag, but wasn't due the second for a couple of weeks, which would mean he wouldn't make the start of his contract. He spoke to his local vaccine centre and they said no way he could have it early. Having a heads up that England were offering it with a reason after 3 weeks, he went to a walk in centre in Newcastle with no other record of him on their system, but the Scottish record of his first jag on a bit of paper, and his job offer letter 
and they were fine, and gave it at 5 and a bit weeks. Not sure how he's proving that to Germany, but he has now at least met their requirements.