It depends: How are your parents funding your integrated course, and what is the course?
If fortune dictates that your parents have 100k in the bank and can do without it (it accrues virtually no interest anyway) if something happens then there's no reason for you not to purchase any integrated flying training course; you certainly won't be at a disadvantage.
If the money is not in cash or free assets then you need to think very carefully. If you are thinking about asking your parents to remortgage your house then the only time I would even entertain this idea is if you get a place on a tagged scheme, preferably something reasonably solid like BA. Risk the house on an untagged integrated course? That's seriously ballsy! You'd be working all day at tescos just to cover your repayments when you don't get a flying job straight away... Re-mortgage for CTC? Still ballsy, but at least you're covered if you fail to make the grade.