Second ever post (on this site)...... I know, how dare I!!
Air Ace, In your perceived viewpoint yes happy to double dip, if I'm simply receiving my insurance I've paid premiums for. For mine however, it's not double dipping if you're receiving money from a policy you've paid for as you said.
Compensation and pensions from statutory authorities are separate issues to a privately funded insurance policy. As a side point, compensations and pensions are two separate ideologies. One is a pay out for an impairment or imposition, the other is a supported income. And both are entitlements to those who satisfy their requirements regardless of any private insurance.