When I try to open your ASC, there is an error, LTspice "Couldn't find the symbol(s): GRM31CR72A105KA01_DC0V_25deg CTMK325B7226_MHP", which means some libraries are missing.
Did the simulation used to work in the former native Mac LTspice install?
If yes, then you'll need to copy or to symlink the directory of LTspice libraries from the native LTspice install to the Wine LTspice location for libraries. I don't know where these directories are by default in Mac, in Linux/Wine default installs, the LTspice libs are in
~/Documents/LTspiceXVII/lib/
Copy or symlink there all the files from "former/place/for/MacLTspiceXVII/lib" to "~/Documents/LTspiceXVII/lib/", and it should work.
To fix the missing symbols error, you have to either inform LTspice where to look for them (for example by adding an .include in the schematic), or to just put the .sym files where the .asc is (meaning to copy "LTspiceXVII > lib > sym > AutoGenerated/TMK325B7226_MHP.asy" and "JDW_Example_ASC/LTspiceXVII > lib > sym > AutoGenerated/GRM31CR72A105KA01_DC0V_25degC.asy" in the same directory where .asc is. (generally, I would avoid spaces and weird characters like ">" in names)
Another way will be to reinstall the missing libs and symbols in Wine/LTspice the same way as you did in Mac/LTspice.
TL;DR those are generic advices, the attached zip should run now (it runs on my Kubuntu-Wine-LTspice). Just unzip all the files in the same directory and open the ASC with the wine LTspice.
The model for the U3 transformer was missing, I've downloaded it from
https://www.we-online.com/catalog/en/WE-DD#744877004 (the PSpice models are compatible with LTspice), and added an .include in the schematic, and changed the former 744877004 into the proper name (and put it as value, not as spice model).
Use the attached .zip file and it should run, all the extra models and symbols are in the zip already.
The general idea is to make available the missing files, and eventually to include them in the simulation using .include spice directive (in the schematic) in case LTspice does not know where the models are.