I also apologise. My intention was not to cause offence but instead understand better.
I also do not believe a free market exists, but as an ideal I prefer a free market to a regulated market.
As for a monopoly, I am not sure we do not have them even in markets that the governments highly regulate, such as the water industries in the UK where I live where we pretend we have a market yet only have a single regulated supplier for the utility, and in other industries like gas we pretend there is competition yet that is just for billing as the gas is still provided by a single supplier, ran through pipes where we license the use, etc.
Would I prefer you take $25 for $100 worth of value? Sure... But someone else needs to fund that $75 shortfall and the worst case scenario is that everyone needs the $100 but only $25 was collected. In some cases where it is obvious that the person cannot pay and has no ability to pay would I turn them away for example because they are incapable mentally or physically? I hope not. Though I would prefer the option of doing so rather than being forced to under duress.