A meaningful distinction between these two terms would be one that defines mythology as _a part of religion_. The Biblical stories would be Jewish and Christian mythologies, but there are also other components to Christianity (ethics, organization, practices etc.)
You cannot, however, make a meaningful distinction that would e.g. make the voyage of Argonauts “a myth“ and e.g. Exodus “not a myth”. Without any judeo-christian dogma, you just have to admit they are both myths of their respective cultures.
On a tangent note — there is also no objective demarcation between “religion” and “superstition”; between “liturgy” and “magic”; or between ”iconodulia” and “idolatry”. All these demarcations require you to accept some religious dogma as “true”.
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