現在目的のアプリが動作しているノートPCでの dpkg -l | grep wine を実行した結果は以下になります
デスクトップ機もこれと同じ設定にすればアプリは動くものと思われます
user@DELL:~$ dpkg -l | grep wine
ii wine-devel 2.4.0~ubuntu16.04.1 amd64 official WineHQ build of the popular Wine software
ii wine-devel-amd64 2.4.0~ubuntu16.04.1 amd64 official WineHQ build of the popular Wine software
ii wine-devel-i386:i386 2.4.0~ubuntu16.04.1 i386 official WineHQ build of the popular Wine software
ii wine-gecko2.21:amd64 2.21-0ubuntu1 amd64 Microsoft Windows compatibility layer (embedded web browser)
ii wine-gecko2.21:i386 2.21-0ubuntu1 i386 Microsoft Windows compatibility layer (embedded web browser)
ii wine-mono0.0.8 0.0.8-0ubuntu1 all Microsoft Windows compatibility layer (.NET compatibility)