Using bastion jump host proxy gateway times out

I have verified that the following two lines work on fine on both my WSL2 (Linux on Windows) as well as Windows 10 (finally, Windows comes with ssh):

ssh -J user@1.2.3.4 user@5.6.7.8 -L 127.0.0.1:60006:9.10.11.12:1521 -fnNT

sqlplus myRdsUser/myRdsPass@127.0.0.1:60006/abc.defgh

I have also verified that,
if I start the ssh connection using

ssh -J user@1.2.3.4 user@5.6.7.8 -L 127.0.0.1:60006:9.10.11.12:1521 -fnNT

then the following code successfully connects and I'm able to query my database.

new OracleConnection($"Data Source={_hostConnectionProvider.GetHost()/*9.10.11.12*/}:{_hostConnectionProvider.GetPort()/*1521*/}/{config.ServiceName/*abc.defgh*/};User Id={config.Username/*myRdsUser*/};Password={config.Password/*myRdsPassword*/}");

But the equivalent .NET code times out (yes, I did kill the command line SSH connection first). The contents of my .ssh/id_rsa file is the same as what I'm passing into config.PrivateKey and I know it worked because I am able to connect to bastion/jump host/proxy/gateway directly using the private key as configured.

_logger.LogDebug("Getting config");
var config = options.Value;

_logger.LogDebug("Converting private key into memory stream");
var privateKeyStream = new MemoryStream(Encoding.UTF8.GetBytes(config.PrivateKey));
var privateKeyFile = new PrivateKeyFile(privateKeyStream);

var sshConnectionInfo = new ConnectionInfo(
    config.DestinationHost, // 5.6.7.8
    22, 
    config.DestinationHostUsername, // user
    ProxyTypes.None, 
    config.GatewayHost, // 1.2.3.4
    22, 
    config.GatewayHostUsername, // user
    null, 
    new PrivateKeyAuthenticationMethod(config.DestinationHostUsername, privateKeyFile));
_sshClient = new SshClient(sshConnectionInfo);
_sshClient.Connect(); // This line throws after 30 seconds: System.Net.Sockets.SocketException (10060): A connection attempt failed because the connected party did not properly respond after a period of time, or established connection failed because connected host has failed to respond.

_sshForwardedPort = new ForwardedPortLocal("localhost", config.ProxyDestinationHost /*9.10.11.12*/, config.ProxyDestinationPort /*1521*/);
_sshClient.AddForwardedPort(_sshForwardedPort);
_sshForwardedPort.Start();

return new OracleConnection($"Data Source={_hostConnectionProvider.GetHost()/*9.10.11.12*/}:{_hostConnectionProvider.GetPort()/*1521*/}/{config.ServiceName/*abc.defgh*/};User Id={config.Username/*myRdsUser*/};Password={config.Password/*myRdsPassword*/}");

No source file or test is named; start at the ConnectionInfo construction and SshClient.Connect call, then trace how the gateway is configured compared with the working ssh -J command. Done means the equivalent jump-host connection and forwarded port establish successfully without the timeout, followed by an Oracle connection.