Your point about eventually not having to pay premiums is a common one used by agents, and in some cases that does happen. But in many cases it doesn’t, or at least it doesn’t happen as early as is illustrated and the policyholder is left paying premiums for longer than they had anticipated. The point is that this is not a guarantee, and it’s important for people to understand that.
In the United States, economists and consumer advocates generally consider insurance to be worthwhile for low-probability, catastrophic losses, but not for high-probability, small losses. Because of this, consumers are advised to select high deductibles and to not insure losses which would not cause a disruption in their life. However, consumers have shown a tendency to prefer low deductibles and to prefer to insure relatively high-probability, small losses over low-probability, perhaps due to not understanding or ignoring the low-probability risk. This is associated with reduced purchasing of insurance against low-probability losses, and may result in increased inefficiencies from moral hazard.