Everyone should stop staking and send everything to C-CEX so they can be swapped over to the new wallet on Monday. If your wallet states it's "catching up" but the last block it has matches the block explorer, it's fine and there is nothing you need to do. Staking wallets reward based on time so it doesn't matter if blocks are found quickly, when they are, you still get your full reward that has been building up over that time frame.
When the next block is found, everything should catch up and confirm. It could be 5 minutes or hours. When I sent mine to C-CEX, they sat there unconfirmed for several hours until the next block was found. We have to assume C-CEX is staking all of our coins so the blocks should continue to be found and confirmed even though there are less wallets staking. The dev should be able to confirm that.
If your wallet is on the latest block, you are fully synced regardless of what the little graphic and text tells you. As long as you have connections and are on the last block, you are fine and just need to be patient. You'll see the wallet flip the graphic back to the green check mark (current) once the next block is found.