For the reasons stated above, I'd avoid putting your son's details on your application.
If you apply for a loan then by all means say to them "please pay the money into my son's bank account" but don't give anyone the impression that your son's account is really yours just because you share a name.
If someone discovers this white lie then it'll be fair to assume that they'll believe the rest of your application might contain other lies : they could decline it for this reason alone. And they could also involve the boys in blue.