So your advice is... to pay more but not take the money youre owed when the time comes for an insurance payout? Great advice.
If i have full coverage, i am entitled to be paid fully for the value of my vehicle, including any fluid or items inside of it that are covered by my insurance policy. If someone smashes into me, i am entitled that money just the same because now i am out a certain amount of dollars through no fault of my own. That is what insurance is for. You give them money every month so that in the event something happens, they reimburse you for whatever you lost at the agreed upon values. Theres no mentality here except the mentality of i get what i pay for. Again, if you want to leave money on the table here, go for it, I dont care. But its stupid and its bad advice to tell someone else to do the same thing, or to berate them for asking what they are rightfully owed.