A great example is authenticating a person's identity via possession of a SIM card, i.e., their mobile number. If one can switch SIM cards, then one can switch identities. This flexibility is not a flaw in mobile communications; the ease-of-use is what makes mobile so useful. However it is silly to pretend mobile is as safe as landline for all uses. Mobile may be altogether more useful than landline -- few could argue otherwise -- and at the same time it can be entirely inappropriate for use in important things like banking. This concept seems non-existant. Instead the prevailing thinking is all-or-nothing.
In addition to "convenience", mobile has introduced a new class of problems when used for important things like banking and payments. These problems either do not exist or exist at a much lower scale with respect to landline. Who owns landline service? Crooks?
From where I stand, the risks of using mobile for important transactions outweigh the benefits. Unfortunately, I also see that "convenience" continues to prevail over common sense. I am willing to sacrafice convenience for peace of mind. Meanwhile banks and others push harder and harder for customers to use mobile, including as a means of verifying identity.