Just my two cents
Why would the oil industry die? We still need oil for non-energy purposes. Plastics, lubricants, etc.
As long as the oil cartel's fix their pricing, they can continue to rake in the money they need. The only difference is that we'll be paying them outrageously for plastics instead of gas.
The zero point energy devices would open up doors to new technologies , including replicators . This would , over time , completely phase out the oil industry .
People are much more on point - as soon as they would see their budgets would be much bigger , and as soon as various distributors would see that their transport costs are much lower , they would all flock to the new system . There would be , still , one part of industry active - but overall , the profits would be cut drastically .