I experience this now on my C2, too and I experienced it with my Xperia 10 II. I have an O2 sim card.
The problem is that the appsupport runtime cannot find a matching APN descriptor and reports that internet connection is not available although it is. You can test it by using WhatsApp. This app works because it does not rely on the android internet connection signalling mechanism. It just tries to send.
I fixed it on my 10II be editing the file /system/etc/apns-conf.xml. I added the following APN description for my sim card type
<apn carrier="O2 DE Internet"
mcc="262"
mnc="07"
apn="internet"
mmsc="http://10.81.0.7:8002"
mmsproxy="82.113.100.5"
mmsport="8080"
type="default,supl,mms"
/>
This fixed the problem on saifishos 4.x. With sailfishos 5.x the file does not exist anymore at the location or it is read from a different location. A matching file I found at /opt/appsupport/rootfs/system/etc/apns-conf.xml but it is read-only.
@pvuorela is this the moved file? How can I edit it? Where can I contribute my APN configuration?
The values for the configuration I obtained by inserting my sim into an android phone and using the app AIDA64.