i took a medical ethics course in undergrad. Although in this situation, the medical aspect does not present itself but i do have an opinion.
There is an excellent piece of work done by John Rawls, a political philosopher that was around in our lifetime. His theory is somewhat of a long one so i will do my best to cut it down and condense it.
What he believes is a version of social contract theory. What society as a whole and individual members must guarantee include:
1. Each person has an equal claim to fully adequate scheme of basic rights and liberties.
Since we don't live in a utopia and communism obviously didn't work then;
2. If there are social or economic inequalities they must follow two conditions; first they are to be attached to positions and offices open to all under conditions of fair equality of opportunity; and second they are to be to the greatest benefit of the least advantaged members of society.
So to put it all into perspective, no you should not put down a coworker or partner if he/she is "better" then you. The reason is that i just told you. Following number 1, a basic right and liberty in this country is adequate basic health care (no matter how one might look at this, health care is readily accessible to anyone who needs this.)
Health care providers make a lot of money, they have more privileges then the least off in society, because of their increased responsibilities. They are to help people who are least advantaged. By downing a partner who would be better then you, this move would create an inequality from the people in number 1, but it would not be in their greatest benefit, because they are not getting the greatest care possible.
Had they come to you in the first place, even if better care is readily available; that is there decision. To destroy that avenue is unethical according to this theory.