And the further irony is that, once independent, studying childcare at a Scottish college might no longer be free. Currently, non-UK EU students are allowed free education in Scotland, and it is only non-Scottish UK students who have to pay. Clearly that would have to change in some way after independence, assuming Scotland is in the EU, because they wouldn't be allowed to discriminate between UK and other EU students.
Yes Scotland says that their preferred option is to charge all non-Scottish students, and that "lawyers acting for Universities Scotland have provided advice that Scotland could justify continuing to charge students from other parts of the UK, without reforming the free tuition provided to students from Scotland".
However if you read that legal advice, it turns out that Yes Scotland have added a tiny little bit if spin here: "could" means "might be able to" and not "would be able to". They might, but they might not. (The legal precedents imply that simply claiming they couldn't afford it wouldn't be adequate justification in the EU courts, though other arguments are possible.)