AFAIK, in Azure VPN Gateway with BGP enabled, the addresses you see under the Monitor - BGP Peer section represent the local IP addresses of the VPN gateway that participate in the BGP session, not the remote peer addresses.
When you configure BGP over an IPsec VPN, there are two sides: your on-premises (or remote) peer and the Azure VPN gateway. The peer addresses you mentioned, 10.201.0.4 and 10.201.0.5, are the IP addresses of your on-premises devices or the remote VPN devices. Azure assigns its own internal IPs for the VPN gateway side of the connection, which are usually the next available IPs in the subnet used for the tunnel interface. In your case, Azure chose 10.201.0.6 and 10.201.0.7 as the local BGP endpoints for the gateway, and these are the addresses used by your VPN gateway to advertise routes via BGP.
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hth
Marcin