I haven’t been running into that issue just yet with the clients I’ve gotten, however my brother has gone through a lot of them as a freelance animator. I believe the big problem is because there are so many “flexible” individuals. There is also the notion that freelancers “aren’t employees” giving people the sort of attitude that they should get things cheaper.
I agree with you completely that they should be ashamed to be asking for discounts.
The good news is though now if your potential clients come to ask you for a discount, you can direct them to this post.