Include removable singularities in FunctionDomain

 Include removable singularities in FunctionDomain

How can I make FunctionDomain include removable singularities? For instance,

FunctionDomain[Sinc[x], x] == True

But

FunctionDomain[Sin[x]/x, x] == x < 0 || x > 0

I would like the latter to return True as well.

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