I'd have to do some research to answer that properly as I've never heard these things associated with low arches. There are certainly plenty of runners out there and on this site that have low arches. Wasn't it barefoot Ken Bob that had low arches (I can't remember for sure) and he is one of the most famous barefooters. I tried to search quick but only found him answering some arch questions on his site (not specifically about his own arches but found this statement:
"Over time your foot arches should strengthen with exercise. As you build gradually and gently they may or may not become more arched, but that, we have discovered from many people with little or no foot arches, does not seem to be important. The important thing is that the foot is allowed to flex and exercise, and that the sole can feel all of the stresses and strains , so that we can eliminate those stresses and strains BEFORE causing long-term injury."
It is quite possible mine have somewhat changed, I guess these changes would only be detectable by exact before and after pictures or the like.