True open source is usually very hard for companies since they are probably using libraries from all over the place with different licenses. For GPL, they would have to get permission from the authors/copyright holders of every single library.
However, if they have an open API with something like embedded Lua language, with a powerful enough API, they could achieve essentially the same thing. The API would still leave the manufacturer in low level control over what is happening, and that might make them feel more comfortable. Lua would only needs something like 200Kbytes of ROM, and is under MIT license which is excellent for commercial manufacturers.
The trick would be to set up the API to be as general as possible and to have a license for the API that encourages other companies to use it. There are probably people in this forum that would probably jump at the chance to help document the API in really great way. Especially if they get the multimeter free for their efforts.
If you look at something like the Blender 3D interface, every button and control you see has an attached python script that calls underlying API commands. All these scripts can be easily edited and changed by a user, if they wish. If the multimeter had all the switched functions and display functions as Lua scripts, then all those script could be customised by end users. So a user could take, say, a standard DC voltage range and add to it extra averaging, standard deviation calculations, logging - whatever they can thing of.
This would also make it easy to have a "reset to factory" option to save people, and to also help in warranty situations.
No need for an assembler package and no need to open their source code.
Richard