Some links refresh very slowly for me. Not all. I had to click twice on this post preview before it came up.
There was some temporary impact when I added the search index back. Also, the page cache was cleared before the migration, and will build back up.
All that said, it is possible the new host will be slower. This is shared hosting, as opposed to the old host, where we had a VPS (still shared, but more isolated). The raw resources they are supposedly giving us here are supposed to be more, but it's always possible that we are impacted somewhat by others on the same server. This morning, it was blazing fast for me - definitely faster than the old host.
The primary reason to move was the really bad state of the old host. I am sure if we stayed there, we would eventually have had the site go down hard, and then we'd have been trying to migrate in a panic. The reason to select this host is that they don't ban conservatives. We were unable to test performance of the host prior to migration. I set up a test site, and asked people to try it out, but maybe 3 or 4 of you actually did, so it was not a meaningful test of performance.
So let's give it some time and see how it goes.