Installer ENV is broken 
I haven’t the clue on how to fix the script, so here’s a list of manual commands to set up the prefix, install deps with winetricks.
Ran through all the deps and installed them with the native winetricks & Wine build, no issues.
WINEARCH=win32 WINEPREFIX=$HOME/Games/byond wineboot -u
WINEARCH=win32 WINEPREFIX=$HOME/Games/byond winetricks wsh56
WINEARCH=win32 WINEPREFIX=$HOME/Games/byond winetricks wsh57
WINEARCH=win32 WINEPREFIX=$HOME/Games/byond winetricks jscript
WINEARCH=win32 WINEPREFIX=$HOME/Games/byond winetricks mfc42
WINEARCH=win32 WINEPREFIX=$HOME/Games/byond winetricks vcrun2013
WINEARCH=win32 WINEPREFIX=$HOME/Games/byond winetricks ie7
WINEARCH=win32 WINEPREFIX=$HOME/Games/byond winetricks ie8
Get DX2010 - https://lutris.net/files/tools/directx-2010.tar.gz , Extract & run it.
WINEARCH=win32 WINEPREFIX=$HOME/Games/byond DXSETUP.EXE
Get & Extract Byond Client into prefix: http://www.byond.com/download/build/512/512.1488_byond.zip
If you already have the entry for BYOND in lutris (failed installers have done this for me) in the same working directory, point “executable” to /byond/bin/byond.exe.
And if so inclined (and probably preferred since Byond goes right to system tray on launch) set up virtual desktop.