Thanks for the query,
No, it doesn't indicate that at all. The tubes have a separate blood supply than the ovary. Moreover after tubal ligation, blood supply to the tubes is not hampered. It's just the lumen which is blocked such that the blood supply is not hindered as it would otherwise lead to gangrene and complete destruction of the tube followed by sepsis. So I hope now your concept has been cleared.
Wishing you good health,
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