How to be sure services and researches offered by the University are not becoming cases of unfair competition?
I think your assumption that the university and private evaluators "offer the same service" is flawed. A private analysis will be delivered to a client and not to the general public. Being private, it may give some competitive advantage and so has monetary value. The university, on the other hand provides an information "service" to the general public so that all can benefit. 

To "forbid" the university from doing some sort of research so that the possible results could be locked up for private rather than general benefit seems to be a pernicious idea. 

And, the "service" of the university isn't actually free (as in beer). Resources go in to it that are paid in a variety of ways, sometimes from public monies since the public benefits. But the information it provides is free (as in speech). 



But for your question about law, note that laws vary from place to place, and not all laws are wise.