Could you please create an option in the SecureCRT session to adopt the session name from Remote Desktop manager to the tab name of SecureCRT.
With the option "/N "name"" is used after the "/T" option you can set the tab name.
If there are any further questions please don't hesitate to contact me.
I will assign this to one of our dev.
Can you try putting "/N $NAME$" in the other parameter field and see if it works? The $NAME$ variable resolves to the session name.