I don't have a slow connection, but maybe it just took a while to load.
Actually, although your "to the home" link may be fast, the connection in general may be slow (depending on network congestion and the slowest link en route).
The site itself may even be congested/overloaded, making the connection (not the link) slow
Connection = point to point communication, f.ex. a browser on a client talking to a webserver
Link = the physical carrier
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