Not to me, we got it for the 55,000 free miles and, as long as we have it anyway, will use it for a rental car next summer but it will be closed after that and before the end of our free first year. We rent a car once or twice per year, I'm fine with the free secondary coverage that all our no annual fee cards offer.
Edit: Actually I may not even use it for our rental, since it will be outside the US and our insurance will not cover us, the credit card coverage becomes primary. So I may just use our capital one card which has no exchange fee (don't remember if the united card does).
press on, regardless - John C. Bogle