That is just the problem with the name "patent troll" ... it is misused by many companies to direct the focus of the people away from the inherent problems of the patent system to the narrower view of "patent-trolls". That leads to the notion, that you just have to remove the those to have a perfect system. A notion, that is simply false.

In the view of the big corporations, a patent system without those "trolls" would be fine, of course.

But wait, which are the entities, that are trolls? Not only universities, but also small inventors, that have good ideas and depend on the possibility that big corporations buy their inventions and thus they could be realized, since many inventions are just beyond of the financial capabilities of single inventors or smaller companies. There are many cases where patented ideas are simply stolen, because the corporation don't want to buy the idea from the inventor. When they sue subsequently, they are now insulted to be "patent trolls".

Even with the patent trolls problem (that exists) solved in a fair manor, it would not solve the problem of low (up to no-) quality patents.