Hi Astrid,
It could be argued that .com domains correlate better with higher rankings that .net domains, however there is no certainty as to whether the search engines use this domain distinction as a ranking factor (and if so, how much weight it holds in their overall algorithm)
It could also be argued that a .com domain carries more trust from a brand perspective, so there is an overall marketing case to be put forward for switching.
However...
From an SEO point of view, any potential benefit you'd receive from switching to a .com (which in my opinion would be very little) would be counter-acted (and possible outweighed) by the link juice you'd lose from 301'ing your existing domain and all the links it's received over the years. There is no exact figure on what kind of link power you'd lose, but have a read on the test on losing link juice from a 301 redirect.
So as an SEO excercise, I would say you'll receive very little benefit from switching, and more likely you would see rankings drop in the short-medium term. It could be a different story from a marketing perspective, but whoever is making the decision should be aware of the SEO consequences.
Thanks
David