When the Lisa was 1st released in 1983, the ImageWriter did not exist yet. Apples dot matrix printer at the time was the Apple DMP, and it had a parallel port interface. In late 1983 to be ready for the introduction of the Macintosh, Apple introduced the Imagewriter that had a serial interface ( both the Mac and the IIc were serial only and the DMP would not connect to them ). In fact both the DMP and the Imagewriter are both just rebadged C. Itoh 8510 printers, and as such the commands and features are the same.
The Lisa supported the DMP connected to a parallel interface (you needed a Lisa Dual Par port card and cable ), and later supported the ImageWriter using the serial interface.
The NewPrint device is parallel interface only, and should work with Lisa using the DMP driver. The NewPrint device will not work directly with Macintosh unless you also use a par to serial converter too.
The original Apple LaserWriter did offer ImageWriter emulation, when connected via it's serial port, and later Apple shipped a Postscript based ImageWriter emulator for localtalk connected LaserWriters with GS-OS for the Apple IIgs.
Rick