Would HEATING the vinegar solution expedite the rusting process/
Yes.
But you do not have to heat it too hot.
An example of this is seen in the old method of making lead acetate.
Pure lead "buckles" were placed in crocks with vinegar. A stone or block was used to keep the lead buckle above the liquid level in the crock. A lid then went on the crock. The crocks were then placed in racks. Fresh manure was then heaped over the racks. Bacterial activity in the manure released heat which then heated the crocks.
When I used this method to produce copper acetate I could not use the manure packing. Neither my wife nor city codes service thought the history lesson would be acceptable. So I selled for a light bulb in the box.
Bill K.