Yes, one might feel a deeper connection to a certain religion if they come from a particular cultural background (e.g., a person of Latin background, say Portuguese, connecting better to the Religio Romana), but simultaneously religions such as Christianity or Islam have thoroughly become embedded in these cultures, and their hold is anything but tenuous. It is all pervasive, and part of reviving ancient traditions involves things like moving past the baggage that everyone has as a result of being raised in the society they were raised in because let’s face it, no one is raised within a vacuum. Because the majority of Pagans are converts coming from Abrahamic faiths, they will thus begin with many presumptions about religion which derive from their society. If one thinks that there is an easy way back to the Old World’s religious traditions by connecting with contemporary cultures, then that person has clearly never actually engaged in Pagan religions.