It depends on how ‘everyone’ assigns value. If ‘value’ is only denominated by culture in monetary terms than education should cost money.
IMHO our most precious human resource is our time/attention, education already costs this. If we value time and wisdom and wise and knowledgeable others are willing to give us this/these for free, than education all ready costs all it needs to cost.
If wise and knowledgeable people are not willing to share time and wisdom without monetary compensation than market forces (not government) will and should dictate the monetary cost of education.