The issue also happens in OWA
Here's the results of Get-WebServicesVirtualDirectory
Identity : server1\EWS (Default Web Site)
CertificateAuthentication :
InternalAuthenticationMethods : {Basic, Ntlm, WindowsIntegrated, WSSecurity, OAuth}
ExternalAuthenticationMethods : {Basic, Ntlm, WindowsIntegrated, WSSecurity, OAuth}
LiveIdNegotiateAuthentication :
WSSecurityAuthentication : True
LiveIdBasicAuthentication : False
BasicAuthentication : True
DigestAuthentication : False
WindowsAuthentication : True
OAuthAuthentication : True
AdfsAuthentication : False
InternalNLBBypassUrl :
InternalUrl : https://server1.domain.com/EWS/Exchange.asmx
ExternalUrl : https://owa.domain.com/EWS/Exchange.asmx
Identity : server2\EWS (Default Web Site)
CertificateAuthentication :
InternalAuthenticationMethods : {Basic, Ntlm, WindowsIntegrated, WSSecurity, OAuth}
ExternalAuthenticationMethods : {Basic, Ntlm, WindowsIntegrated, WSSecurity, OAuth}
LiveIdNegotiateAuthentication :
WSSecurityAuthentication : True
LiveIdBasicAuthentication : False
BasicAuthentication : True
DigestAuthentication : False
WindowsAuthentication : True
OAuthAuthentication : True
AdfsAuthentication : False
InternalNLBBypassUrl :
InternalUrl : https://server2.domain.com/EWS/Exchange.asmx
ExternalUrl : https://owa.domain.com/EWS/Exchange.asmx