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Coax in wall -> Modem -> Router -> Internet jack of Switch 1 -> Any port of Switch 1 -> Internet jack of Switch 2
Will the connection between ‘any port of switch 1’ provide internet to the rest of the jacks on switch 4? I assume yes because any traffic will just go through that connection and then be handled by switch 2. Maybe some arguable congestion on that line, but this is for a small (read: apartment) home network that is hardly going to get blasted with bandwidth ever.
Yes generally it won’t be an issue. But can only have 1 uplink to router or another switch so everything downstream is limited by that port throughput. Generally best to by a single large switch and connect everything to it.