this should all just work, if you have configured Cloudron for some reason to explicitly use some network interface you may have to reconfigure that, but this is only really used for public IP detection, so worst case you have to first adjust the DNS A record for the dashboard domain manually once to reconfigure that and resync dns from the cloudron dashboard, but very unlikely that this happens.
Further of course if you have attached disks and used that as volumes in Cloudron, if the disk identifiers change (also unlikely though) this might cause some issue, but we can adress that then.