It wasn't as bad as I thought -- for some reason, the type size was set very big (but just for this particular web site, strangely, which was the reason that I did not suspect this might be the reason for the strange appearance) so that the interesting parts did not show. So: everything looks OK except that the reviews are still missing. I do hope they will return.

Mats Linder  be rest assured we have plans to improve the web app Store in the weeks to come

The reviews as well, I hope. (And my apologies for the initial complaints. My only excuse is that I never before encountered this strange problems with typesize and therefore did not recognize it as such.)

Mats Linder yes we will be introducing reviews and other key features that will not only help promote those who contribute the AppStore by publishing their apps, but also support those who wish to implement the app(s) in question.

One remark I wish to do address is your remark of:

Mats Linder said:

What I don't understand is why the updates are not tested before they are introduced to the public

What has prompted your perception that apps are not tested before they are published? 

Apps that are done by the Trados AppStore Team are tested and in the event issues are found we typically address them quickly - our advantage being part of an agile development team and having moderated forums for posting your concerns. Apps that are published at the discretion of those who developed them. 

Which apps are you using and have you reported your concerns to the app owner?

Lyds