When looking at the ARP cache, that the ARP cache is only relevant to the local subnet. Hosts that are reachable across a router in a different subnet are reached using the arp cache entry for the server's default gateway.

Also, in the purest sense switches are layer 2 and ARP is a layer 3 protocol. The "show mac-address-table" command does not show a switch's arp cache. It shows the switch's forwarding table. You will not find IP addresses listed in the output of this command. In most layer 2 switches you will still find a "show arp" command but this will only show you the arp cache for the VLAN that the Management IP is a member of and it will only show you entries for hosts that have connected to the switch's Management IP. You will not see all hosts in that VLAN.

A layer 3 switch will use the same "show arp" command to show the arp cache and the "show mac-address-table" command to show the forwarding table. Layer 3 switches may have more entries depending on how routing and the management VLANs are configured.