No, it would not.<quoted text>
If abiogenesis is accomplished in the laboratory, it will prove that life CAN be created intentionally, not that it originally was.
If each step such as the natural assembly of amino acids, peptides, sugars, membranes and nucleic acids can be shown to occur naturally under the conditions present on early earth, anthropogenic abiogenesis will also demonstrate that life can arise spontaneously without the help of a god or any other intelligent designer.
It would demonstrate that life could arise in an intelligently designed and intelligently directed experiment.
It would not demonstrate that life "can", or did arise spontaneously.
Bran muffins can arise from natural elements.
So far, we haven't found them spontaneously erupting.