I would. But only because that would cause the oil production company to lose the lease. I would get to sell it again and make more money with a proved producer.
In reality, no production company is going to do that. They have to keep production to maintain the lease, as well as not cause problems in the well.
You have to flow the well to keep the production. But the volume you have to flow is very little. Many companies will shut the wells in and flow them the one day a month or whatever to hold the lease.