The original channel factory paper definitely doesn't. It doesn't even require CTV. What are you talking about specifically?

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Of course, it requires NOINPUT, or APO, not CTV.

What paper are you referring to? The original uses descending timelocks for updates unless I'm missing something.

Regardless, a simple coinpool like tr(, {}) with channel opens for leaves meets the only definition of channel factory that I'm familiar with, and does not require APO (or similar) at all, only CTV.

I see. I am talking about multiparty channels, which are often referred to as channel factories, but it's an ambiguous name.