No option to remove HyperTerm from "cmd+tab" menu?

Apologies on the title. I tried digging around a bit, but was unable to find a way to hide HyperTerm (later HT) from this menu:

As I'm using HT as a so called "dropdown terminal" and opening it with a hotkey, it being in the "cmd+tab" menu severely impacts my workflow. As you probably know, switching applications modifies the order in which applications are listed in this menu. So when I'm juggling with Chrome + Photoshop + Atom, activating HT with the hotkey also moves it to be the first item in this menu. So when I want to switch from Chrome to Atom, I accidentally open HT instead.

This was a rather easy fix in iTerm, and the fix works the same way. Just change "iTerm" to HyperTerm, and restart.

/usr/libexec/PlistBuddy -c "Add :LSUIElement bool true" /Applications/HyperTerm.app/Contents/Info.plist

Easy fix, but this could (and should be?) an option in the config? I have the "hideDock" config option set to false, but it doesn't affect this.

This is OSX only, but the same feature is probably implementable in Windows & Linux too.

Start by tracing the existing hideDock configuration and the macOS application packaging represented by /Applications/HyperTerm.app/Contents/Info.plist. Confirm how the app is built and how platform-specific settings are handled. Done means providing a supported way to keep HyperTerm out of the macOS cmd+tab menu without breaking its dropdown-terminal workflow.