Yes, it is, and it's fine to be honest about that.
I'm not less fortunate.
I support helping the less fortunate more.
And I realize doing so is going to require sacrifice on my part -- I'm going to have to pay more in taxes/redress to fund that help.
The difference is that morally, I find it hard to have a roof over my head, a bed to sleep in at night, security provided, and food every day... and quibble over my marginal tax rate, versus someone who doesn't have those things.
But then, I've always looked at income as society's money rather than fundamentally mine. I am able to earn what I earn because I exist in a broader organization and society.