patching this in mode-compile.el seems to work

    
(defun mc--compile (compile-command)
  ;; Call compile with the compile command
  ;; but append the remote-command before
  (if (null mc--remote-command)
      ;; local compile
      (mc--compile-sav compile-command t)                        ; <--
+-- "t" added to list
    ;; remote compile
    (let ((thisdir (expand-file-name (or default-directory "~"))))
      (mc--compile-sav
       (concat
        ;; The command to lauch remote commands
        mc--remote-command
        ;; Change to this buffer directory ...
        "'( cd " thisdir " ; "
        ;; then run the compile command
        compile-command " )'")))))
[download]

But I'm not too sure, only using emacs for 30 years now...