I have successfully been running 99.?%? of fh functionality on Linux for almost two and a half years (specifically Lubuntu 16.04 and then 18.04 with Wine 4.0.3 - emulating Windows 7) Wine 5.0 has recently become available.
I installed Wine through the Software repository and then downloaded the FH instal program into the download directory of my "wine C drive". Then I seem to remember that I ran the install program by right clicking on the file and selecting "Open With > Wine Windows Program Loader". In genealogical terms I got Bob as my mother's brother!
I then tweaked things to get the Menu option that I wanted copying the set up for another program that installed with Wine (possibly notepad or even the default FH menu option which was deep in the Wine Menu system off the Start Button - I cannot now recall, but it was a minimal hassle tweak) and moved directories around to get them where I wanted them (using simlinks/shortcuts to maintain things the same as far as the program was concerned)
The FH supplied pdf driver does not work under Wine but other options are available under Linux. Other than that I am not aware of any FH problems
Some dialogue boxes can be a touch messy because the fonts on the buttons are a bit too big for the text to fit. Expanding the Dialogue box often cures this and if I fiddled with the Wine Configuration (for me; Start Menu>q4wine>Default>system>winecfg) I might improve it further.