Assuming that these are layer 2 switches, then show arp will only show addresses (IP and MAC) of devices that have been accessed by the management interface of that switch). This is likely to be much less than all the switches connected to B. And it would show any address on A or C or D that had been accessed by the management interface.
If these switches are daisy chained as shown in your post (through A to get to B, through A and B to get to C, through A and B and C to get to D) then it is in the nature of layer 2 switching that the mac address table on B will include all devices connected to any of the switches. The only thing you can do is show mac-address-table and exclude any address that is associated with the interface to A or to C. I do not know an automated way to do this.
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