marcoslopez wrote: The LimeSurvey server is only reachable from the LAN
Fine, so only LAN.
If the issue is with Limesurvey it seems like a render problem.
What LS version is used? Create a new survey with just one question and the default template.
Check again, if speed is slow on all mobile devices.
Since the Server is reached via different routings:
Desktop -> LAN via TP-Cable
Mobile -> LAN via Wireless AP
I wouldn't rule out that your internal routing via Wifi is much slower that the routing via TP-Cable.
The bandwidth is lower. Perhaps more mobile devices are on the local Wifi (updating all those apps all the time). So accessing via Wifi can be the issue.
You might install another PHP application on the Webserver (e.g. Wordpress) to compare access times via browser. Other way is to check bandwidth usage on the Wifi-Accesspoint itself.
What about asking the (network)administrator?