Unfortunately, load times are such a broad question it’s not possible for others to speculate. There are various page speed tools that can help you better understand whether it’s the server or the application, and there are query monitor plugins for WP you can use to determine what part of the application may be slowing things down. Really, only installing the application on a different server will tell you for certain whether it’s a problem with the hosting stack or not, but you can also look into optimizing the WP database and deactivating plugins and themes to manually try to isolate what is causing the slowdown.
