Do as Quint did and check the reviews. While you're at it, check out the whole company. In my state, LM has piss-poor ratings. No amount of cute commercials makes up for bad service. In fact, the sheer volume of commercials is somewhat alarming. Almost as if they're frantically trying to replace all the customers they're losing. And where's all that ad money coming from?
In your search for lower insurance costs, you might try a bricks and mortar insurance broker. DH did before we were married. She found a company* that doesn't advertise but has very high ratings. It's designed for Civil Servants. DH is not a Civil Servant, but he's somehow eligible (union, maybe?) and the prices are terrific. He never would have found them without the broker. Even if he did, he wouldn't have known that he'd be eligible.
In my single days, I had auto coverage from Wawanesa, a Canadian company that only did business in two US states. Found them because someone at a car dealership told my sister about them. Awesome company with great service and prices. Love, love, loved them. After we were married, DH's company had a better package, so I switched, but I miss them. Who says that about an insurance company? Crazy.
Bottom line: With a little research, you can get the pricing you want without the intrusion. So, I guess my answer is no fucking way. No how, no way, not ever. Not even if they paid me.
(*Can't remember the alphabet soup name of the company, 'cause DH pays the bills, that awesome guy. CSEA maybe?)