App stores are gatekeepers, and while they certainly can make things more convenient, they also encourage habits that I think are harmful. Such as thinking that app stores are the only way to install applications. I think that it has been a bad thing that users are conditioned to think that if it didn't come from an app store, it's dangerous or wrong somehow.
It forces developers to use the app stores. I understand that many may not see this as a problem, but many developers (including myself) would very much prefer not to have to do that. So it's a disincentive to make software for others, at least for some.
In the case of this one, I also am very nervous about the incorporation of a payment system. I fear that will discourage the creation of quality free software, and I think quality free software is a huge benefit.
In short, I fear that this app store will resemble the Android Play store, or Apple's app store, and encourage the same problems and adverse impacts they have had.