Some comments (and please excuse the rude comments) before my answer
1) in general, it's never a good idea, to enforce a "new coding standard" for an old code. This is especially valid for old MUMPS and old ObjectScript code - except, you redesign or at least rework, the entire codebase.
2) use the Codesnippet button to write a more readable code (it's not necessary, but it helps us)
3) include only relevant parts/lines of code, in the above code, all that ^OLIVERs are completely irrelevant and makes the reading and understanding of an foreigen code more difficult, with other words, help us to help you!

And now to your problem. The old code is written in a mode, which we call "non procedural" code, i.e. all variables are public except the NEWed (which are invisible). The original code changes or kills at least the OLDIO543 variable, somewhere in the called part (do @CALL), and this fact is considered with the

 N TMPFILE,OLDIO
 S OLDIO=$IO
 I $G(^TMP("RMPV","SILENT"),1) S IOP="NULL",%ZIS=0 D ^%ZIS I '$G(POP,1) U IO
 D INIT^@DRVNAME
 D  ; scope variables
 .N (DUZ,CALL) ; Protect %response  // <-- save all except DUZ and call
 .S IOF="""""",IOM=80,U="^"
 .D @CALL
 U OLDIO

To move all commands from argumentless DO into a classmethod is OK, but you can't change a "non procedural" flow to a "procedural"!
So the solution is, you leave the old NEW as is and define your class method as:

ClassMethod doCall() [ ProcedureBlock=0 ]
{
 ...
}

If you want to keep your procedural code then you have to rework the code, which is called by "do @CALL" too and probably the code which is called from inside of "DO @CALL". Good luck!