Am I right in pushing my fairly wealthy child toward student finance?

My kids inherited a decent amount of money from their grandfather, about £100k each, which I put into unmanagement investment accounts, split between medium and high risk.

Eldest is now planning to go to university and, of course, that would cover her entire course fees and living expenses and then some. However, I'm suggesting she takes the student loans instead.

It seems clear to my thinking that her investments should, most of the time, appreciate in value more than than the interest on a loan of the same amount will cost. Furthermore, unless she becomes a relatively high earner, it's possible some of her loan will eventually be forgiven. And if she does become a high earner, and wants to pay down the loan, she should have the capital to do so.

She seems unsure as to whether this is good advice and, not being a financial expert of any kind myself, it seemed sensible to double-check my thinking. Is this a sensible way to approach taking a student loan?