Estou tentando implementar um aplicativo de console simples para baixar os arquivos usando o método Webclient.DownloadFile nos protocolos TLS 1.1 / 1.2. Este é o código para o aplicativo:

var downloadUrl = "https://serverURL.com/sample.mp3";
var filename = "sample.mp3";
var myWebClient = new WebClient();
myWebClient.DownloadFile(downloadUrl, filename);

Sempre que o executo, recebo a seguinte mensagem de erro:

Unhandled Exception: System.Net.WebException: 
The underlying connection was closed: An unexpected error occurred on a receive. --->   

System.ComponentModel.Win32Exception: The client and server cannot communicate, because they do not possessa common algorithm
at System.Net.SSPIWrapper.AcquireCredentialsHandle(SSPIInterface SecModule, String package, CredentialUse intent, SecureCredential scc)
at System.Net.Security.SecureChannel.AcquireCredentialsHandle(CredentialUse credUsage, SecureCredential& secureCredential)
at System.Net.Security.SecureChannel.AcquireClientCredentials(Byte[]& thumbPrint)
at System.Net.Security.SecureChannel.GenerateToken(Byte[] input, Int32 offset, Int32 count, Byte[]& output)
at System.Net.Security.SecureChannel.NextMessage(Byte[] incoming, Int32 offset, Int32 count)
at System.Net.Security.SslState.StartSendBlob(Byte[] incoming, Int32 count, AsyncProtocolRequest asyncRequest)
at System.Net.Security.SslState.ForceAuthentication(Boolean receiveFirst, Byte[] buffer, AsyncProtocolRequest asyncRequest)
at System.Net.Security.SslState.ProcessAuthentication(LazyAsyncResult lazyResult)
at System.Net.TlsStream.CallProcessAuthentication(Object state)
at System.Threading.ExecutionContext.RunInternal(ExecutionContext executionContext, ContextCallback callback, Object state, Boolean preserveSyncCtx)
at System.Threading.ExecutionContext.Run(ExecutionContext executionContext, ContextCallback callback, Object state, Boolean preserveSyncCtx)
at System.Threading.ExecutionContext.Run(ExecutionContext executionContext, ContextCallback callback, Object state)
at System.Net.TlsStream.ProcessAuthentication(LazyAsyncResult result)
at System.Net.TlsStream.Write(Byte[] buffer, Int32 offset, Int32 size)
at System.Net.PooledStream.Write(Byte[] buffer, Int32 offset, Int32 size)
at System.Net.ConnectStream.WriteHeaders(Boolean async)
--- End of inner exception stack trace ---
at System.Net.WebClient.DownloadFile(Uri address, String fileName)
at System.Net.WebClient.DownloadFile(String address, String fileName)
at web_downloader.Program.Main(String[] args) in c:\Users\user\Documents\Visual Studio 2013\Projects\web_downloader\web_downloader\Program.cs:line 27

Eu tenho a seguinte configuração: o aplicativo web_downloader está localizado emServerA (Windows Server 2012 R2 / 64bit), que possui o seguinte na chave do registro emHKEY_LOCAL_MACHINE / SYSTEM / CurrentControlSet / Control / SecurityProviders / SCHANNEL / Protocolos:

PCT 1.0
--Client
----DisabledByDefault=1
----Enabled=0
--Server
----DisabledByDefault=1
----Enabled=0
SSL 2.0
--Client
----DisabledByDefault=1
----Enabled=0
--Server
----DisabledByDefault=1
----Enabled=0
SSL 3.0
--Client
----DisabledByDefault=1
----Enabled=0
--Server
----DisabledByDefault=1
----Enabled=0
TLS 1.0
--Client
----DisabledByDefault=1
----Enabled=0
--Server
----DisabledByDefault=1
----Enabled=0
TLS 1.1
--Client
----DisabledByDefault=0
----Enabled=1
--Server
----DisabledByDefault=0
----Enabled=1
TLS 1.2
--Client
----DisabledByDefault=0
----Enabled=1
--Server
----DisabledByDefault=0
----Enabled=1

EServerB, que armazenasample.mp3 arquivo, tem o seguinte:

SSL 2.0
  Client
    DisabledByDefault=1
TLS 1.1
  Client
    DisabledByDefault=0
    Enabled=1
  Server
    DisabledByDefault=0
    Enabled=1
TLS 1.2
  Client
    DisabledByDefault=0
    Enabled=1
  Server
    DisabledByDefault=0
    Enabled=1

Assim que eu ativar o TLS 1.0 emServerA Consigo baixar o arquivo mp3 deServerB (Windows 7 / 64bit / Net Framework 4.5.1) sem problemas.

Criptografia do sistema: use algoritmos compatíveis com FIPS para criptografia, hash e assinatura a política está desativada nas duas máquinas.

Estou faltando algum parâmetro de configuração para o método DownloadFile funcionar com o TLS 1.1 / 1.2?