Yes, Tov li Toras picha mei’alfei zahav vakesef… not just a song – a way of life.
Blessed is the community that does not charge too much for tuition. However, in the case where the parents literally can not pay what is required (or they will lose their home, for example), the responsibility is on the Hanhala for charging what they did, not the parents for not lying and saying they will pay when they knew they could not.