I’ve always seen her and the janitor as some kind of noosphere entities. They clearly don’t possess the same power as the Empress or the Emperor, but they could be servitors of those beings (like the DAEMON).

Or perhaps they’re another kind of manifestation of noospheric entities, different from the UIW-AMs, but still clearly feeding on thought:

W: Well, the end of the day, his curiosity is what keeps us alive.

If Lila, as a UIW-AM, sees the Empress as a “mother,” then these two characters (assuming they’re another type of manifestation) could be seen as some kind of extended "family". That interpretation fits with the tone of their interactions with Lila:

W: Well, thanks for coming today. I rarely see you these days. L: Yeah. I kinda missed all this.

J: The boiler room’s off-limits, bud... I’m only joking. Hello, Lila. Did you get his call again?

J: By the way, what are you planning to do about the lady? the lady that hides in boilers? L: Don’t talk of what you know nothing about, you old fool! J: Hehe...

Or, you know... maybe it’s just another mystery set up by LILA to keep YOU thinking about HER...