Why would "equal" matter though? E.g. if noone has access to medicine (probably some African countries), they're all "equal". But... The point is, "equal" is just a buzzword that needs to be deconstructed and analysed in each specific scenario. In medicine in particular, extremes are usually bad (completely private => expensive, completely public => inefficient), and middle ground (public & private) seems to be decent.
People living in equal societies are happier, and less stressed. Maybe it's because differences in status translate to differences in the natural anti-depressant chemical, Serotonin.
In countries with socialized medicine, access to healthcare services is usually more equal than countries without socialized medicine.
So if some equality can be created in such an important choice, maybe it could be achieved in the less important choice of counter tops, if someone we're to bother.