I figured I'd consolidate all of those for future use.
@TheOuterLinux that's not an official client and is for the legacy and osrs clients. My steps get the official NXT client working.
@afarian It uses OpenJDK and Perl. Besides, that allows me to play using an open-source, 32-bit client without an EULA instead of limiting me to a proprietary 64-bit version on Ubuntu/Debian that's also just a JAVA client, and if not then it's more than likely Electron-based. The Hikari Knight version also has useful addons, but they need updating.
I found a place that still exists in which they mention both running the EXE with WINE and using the Hikari Knight version: https://support.runescape.com/hc/en-gb/articles/206659489-Linux-Native-Clients
@TheOuterLinux thanks for the info :)
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