You are correct, if you are taking the standard deductible, it will not have impacted your tax liability in any way.
However, in case that is different next year, the parts of registration that are deductible are taxes which are based on the value of the vehicle. Fees that are the same for each vehicle are not a tax but a fee due the state or locality. They are not included in the federal deduction. To make it even more complicated, different states have different ways of handling this. It may be that your state does not have any fees based on the value of the vehicle.
Click here to see a TurboTax Help article with a state-by-state breakdown of which have taxes based on the value of the vehicle.
If this does not completely answer your question, please do let us know the state where you register the vehicle and we can better assist.
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