Both put different emphasis on different traditions. For instance, in the Catholic Church, we deny that Mary died but was assumed into heaven, body and soul. In the Orthodox Church, their Tradition holds that Mary
did die, and so was not assumed. Because of this accepted Tradition, they must likewise deny the Immaculate Conception because “the wages of sin is death.” Mary died, vis-a-vis, she was still born with original sin.
I could point to a couple of noncanonical gospels that illustrate the death of Mary if you wanted, but these gospels were deemed invalid and heretical prior to the schism, so you shouldn’t rely on them as authoritative sources for the Orthodox position.
My point being that the Tradition of Apostolic Succession does not necessarily affect other doctrines. Most of the doctrines held by Catholics and Orthodox Christians weren’t defined by Apostolic Succession, but rather defined by inheritors of said succession who were interpreting Church Fathers and early Church writings. The one affects the other but the latter does not define the former.
Your question isn’t a valid question because you are trying to establish causality where none exists, and if any does exist, you have the causal relationship backwards.
Edit: Actually, what I should have said is your question doesn’t have a valid answer instead of saying your question wasn’t valid period. Sorry!