The specific topic of that post was allowing gay people to marry. The baker loses no freedom just because gay people can marry.<quoted text>
Except for the baker, of course.
If you are referring to anti-discrimination laws limiting his freedom to discriminate, that's another thing. That is a loss of freedom, but a necessary one for a healthy society, just like laws that prevent his "freedom to pollute" or "freedom to not wash his hands when baking" or "freedom to have rats in his bakery".