Dermatologist here.
Generally yes, but about 5-10% of them grow back anyways. Either from a small bit of cyst wall that didn’t get cut out (can be very difficult to ensure 100% is removed) or perhaps from the surgical trauma itself.
Cysts can develop by themselves in scar tissue and the surgery itself causes scar tissue.
Unfortunately, as with most things in medicine, you can never really say never.
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