My question to you all is, is my lye liquid okay?
Alkaline solution accelerates caramelisation, to a point where it can start browning at room temperature. It is expected that just about any sugar might yellow. Fresh, highly purified cane/beet sugar shouldn't be very prone, but small amounts of glucose/fructose (the natural decomposition products of sucrose) can already cause discolouration.
Nothing to worry about – except in case the colour interferes with ambitions for a maximally pale soap.
When in doubt, sugar alcohols (read: sorbitol) work at least as good as lather boosters, and don't discolour in the alkaline at all.
Btw, your lye is
not okay. The crossed bones are missing under the skull ☠. Seriously, the “toxic” pictogram isn't the accurate warning sign, since lye is
not toxic, but
corrosive. But being overly drastic in deterring uninvolved/careless/distracted flatmates, outweighs toxicological nitpicking in any case. I'm always happy when I see people in YouTube videos, here, or elsewhere, to take chemical burn precautions seriously.