You are not using the object as a counter but the de-reference of the object

The OP --not you-- has the correct terminology. The thing referenced is the object --the thing that is blessed-- not the reference.

The code in question does indeed increment the object, which is unusually a scalar instead of a hash.

In reply to Re^2: Why does $$self++ work? by ikegami
in thread Why does $$self++ works? by rob25

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