Its not their business how you pay for your training, so no it doesn't matter not having a loan in your name. IF you loose your licence on medical grounds then you will get back the sum you insured for the cost of your training.
Off topic slightly, but take a long hard look at spending the kind of money your thinking about for an integrated scheme in the current aviation climate, especially if your parents mortgage is going to be on the line if you can't meet repayments when you don't get a job at the end of it. Its a much more sensible idea to go modular and pay as you go, and not having such a mountain of debt. I'm an FO for one of the best paying airlines in Europe and even I don't find it comfortable having the debt of an integrated course on top of me, think about what it would be like with no job!!!