You might rethink that — for one, there is always tenants’ liability, and you might want to have them insure it to some amount ($500k). Also, if the tenants stuff is damaged (for any reason), you don’t want them coming after you for those costs. Finally, if the tenants’ acts or failures to act cause harm to third parties (a condo common element, or an apartment building component for example), you will want them insured for such matters.
In any case, be sure you have enough liability insurance to cover your net worth regardless of how the rental properties are titled and held.