Probably not, as per the web site:
"Plink is probably not what you want if you want to run an interactive session in a console window"
The problem is there has to be "one" terminal. Scripts and other stuff will run to it but when there is a problem, somebody has to be able to look at it and drive the thing manually from that same terminal. I cannot disconnect and reconnect with an interactive term.
ExtraPuTTY appears to have some scripting ability but I think this is through Lua, which is even more obscure than Rexx in this neighbourhood.
We actually have a custom solution which sort of works, but everything is written in Tcl. We are running into its limitations so it won't last that much longer plus all the engineers here hate Tcl.