The nice thing about Patreon vs. Paypal is that the default assumption with Patreon is that you will be making recurring payments. It might be possible to set this up in Paypal, but I don't know and I've never tried. However, I do support several Patreons in this manner - it's as simple as entering your credit card info, typing the amount you wish to contribute each month, and clicking the button. In addition, the framework of Patreon makes it easy to give "rewards" to your contributors - when they go on the Patreon website they can easily see a list of all the special posts you've made exclusively for patrons, such as videos, songs, special messages etc. As well as the special posts of all the other Patreons they support, in one place.
You could do all this stuff via Paypal as well, but it would take a few extra steps. The supporter would need to use Paypal to send you the money, then follow your instructions to navigate to a separate site to see the "rewards". In addition, if they want to set up a continuing donation, they would need to learn how to do that on Paypal (if it's even possible - like I said, I don't know) or else remember to do so every month/week/whatever.
For your business model I think it might make some sense, just my opinion. Of course you could always keep Paypal as an option as well.