In short, yes it will take longer to "catch up".
The longer answer, be patient. This is an issue that will be resolved. I'm sure that the admins are doing their best to get the instance up & running ASAP.
From my experience during the great Twitter migration to Mastodon, you saw the same thing. Especially the "main instance(s)", mastodon.online and mastodon.social in this case, were overloaded to the brim. After a day or two, the sysadmins and developers were able to stabilize the instance.
The sysadmins in this case were responsible to keep the servers up and running (and scale up where needed). The developers because their code hasn't been "battle tested" for this level of interaction. So changes were needed, to optimize and squash bugs.
I hope this helps 😊
Edit: fat fingers, ie fixed typo