No they don't.
Servers react very differently to desktop computers to configuration errors, especially on complicated network setups. Hardware issues rarely cause anything that specific, it's the same point of failure every single time and hardware failures would be unlikely to cause that.
I always had that problem when I had a 2003 machine act as a domain controller, it would boot up in about 20 seconds normally but as soon as I converted it to a domain controller, it'd take about 3 minutes.
Theres no problem with the connection to domain controller - its just that as I said earlier there is a 30 second delay in connection on boot so usually I log in with offline cached credentials then the server comes online after login