in my experience it depends on network latency and bandwidth. If you separate the client from the server on different PCs, then all communication has to go through the network.
So, when guiding, all pulses travel back and forth and tracking could be affected by high latency; when focusing all images have to be send to the client consuming bandwidth etc.
If it's a LAN or a fast internet connection first option could work just fine.
In a remote location where only satellite network works the only way is connecting through a remote session on a local computer.
I switched from first option to the second when I moved my telescope from a 100Mb/s observatory to a remote one where connection speed (shared!) is 3Mb/s at best.
 

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