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They don't allow donations on content publication like patreon does, because it can be seen as a purchase.

They only allow reccuring donations.

It's their choice to not compete with Patreon. See FAQ: https://en.liberapay.com/about/faq

"What are the differences between Liberapay and other recurrent crowdfunding platforms like Patreon?

1. Liberapay is only for donations, meaning that transactions must not be linked to a contract nor a promise of recompense."

They do. It's in the title of the article.

What do you mean?? Liberapay supports solely recurring donations.