In #1 of the updated post on akusala mula PS it is said:
“One is born in the remaining “good realms” or sugati (and also experience mundane sense pleasures) due to good gati due to alobha, adosa, amoha. The kusala-mula PS operates when actions, speech, and thoughts occur with these three root causes..”
But punna abhisankhara are part of akusala muala PS as long as there is avijja (“not knowing/understanding the four noble truths”). That is explained in Vb 6 as “kusalā cetanā kāmāvacarā rūpāvacarā dānamayā sīlamayā bhāvanāmayā”. So it means the good roots of alobha, adosa, amoha still keep one bound to samsara as long as there is avijja.
Punnabhisankhara become kusala only with understanding of the four noble truths.