Would you vote in an election system without a secret ballot?

I guess it's self-evident that the purpose of a secret ballot is to prevent retribution or intimidation by government authorities against those who vote the wrong way.

Would you stop voting if the ballot you cast was indelibly linked with your personal identity and registration?

Let's assume that your detailed voting record can be inspected by anyone, but that the identity of everyone inquiring about your ballot is also recorded.

I put this forward as the ultimate means of vote authenticity and legitimacy.

But would it also amount to the ultimate means of voter suppression?