No, credit card automatic policies do not cover even top 10 issues that you would have in event of an accident - they at most cover loss of revenue provision and some of the damage to the vehicle you are renting.
The only reasonable insurance that you can get is Amex premium insurance which is $25/trip (not a day) and covers everything.
Edit: Over years I tried Citi, HSBC, BOA, Chase and even CapOne "premium insurances" - they all were garbage with a list of exclusions longer than most of TOS policies on shady websites.