There is a less popular mobile browser on which Grepolis desktop version can be run without any of these problems even after the update, but as far as I know it is against game rules to use it, so I don't recommend anyone to try it, therefore I cannot post its name here.
The reason why all features can work, even city name change is because it has a virtual mouse.
This is in Rules:
The use of proxies and other ways of concealing the connection between player and servers is forbidden, nevertheless players in special cases may apply for an exemption.
This browser uses a cloud server for faster browsing, although it forwards the user's IP to sites that doesn't always work and some sites only see the cloud server IP... it does not hide IP. There was a time when many players got banned for using it, because it appeared as all played under same IP...
I submitted a ticket to request that I could use this browser, because I think this Ipad issue is a 'special case'... so far there is no decision nor any update. I wish that if we can't get a fix at least players could use existing solutions such as this browser.