A monthly checkup for your parents computer is a very minor hassle, and it's made much easier when you can use remote desktop software.

It's worth while to you also, it would negatively affect you if your parents did something dumb or there was a virus on their computer that uploaded all of their banking information, or if they kept a desktop file with their passwords rather than using a secure password manager. If their identify got stolen or someone stole money from them, or their names got tarnished, that would harm you, correct?