I did a lot of research before my own cataract surgery in September 2006. At that time aspheric monofocal IOLs were very new, and many cataract surgeons in Chicago were not using them yet. I had an excellent (but very conservative) surgeon, who felt that nothing could possibly be better than the traditional spherical AcrySof model. He gave in to my insistence on getting aspheric AcrySof IQs. I strongly suspect that today he's implanting mostly aspheric IOLs.
Those (above) quotes are based on the findings of online research from 2006, and you might be able to locate the studies if you spend some time searching. I recall another 2006 study in which a small number of patients had a spherical IOL implanted in one eye and an aspheric IOL implanted in the other. The majority of patients could not perceive a difference between the IOLs. Of those who believed there was a difference, more preferred their vision with the spherical IOL.
I haven't been following the latest research in this area. In all likelihood, the difference in vision provided by various models/brands of monofocal IOLs is too little to be perceived by the great majority of people. And probably a lot of the "special features" of particular monofocal IOLs are mostly marketing hype. There is an advantage, though, in going with an IOL which a surgeon has implanted many times: S/he can factor her/his experience into the power calculations and get closer to your refractive target.