An interesting card with a payoff limited by what ice and upgrades you use.
Eliza is situational due to competition from Melange Mining Corp. .But what about high cost cards like Hadrian's Wall, Wotan , SanSan City Grid (if an opportunity to use the interaction to score an agenda presents itself) or Wall of Thorns? Being able to deploy Janus 1.0 in spite of economy lag can be a daunting call.
Eliza costs 4 to rez and rezzes something else for 3 clicks. She takes a fair lump of credits to trash to compensate.
Melange only costs 1 to rez and gives 7 credits for those same 3 clicks, giving an effective net yield of 6 credits the turn it's rezzed and fired. But can be trashed on a whim and the turns spent melanging can be mitigated if you try to rez all your big ice too quickly.
Neither of them are cards the runner wants to particularly see for more than one turn.
Like Melange, Eliza's gravitas becomes stronger as the game goes on. But her effect is sorely wasted on anything that costs 7 or less credits to rez, as Melange is easier to get out and fulfils the requirements more easily, all the while maintaining influence neutrality, unlike Eliza.
Not for all decks but an interesting way of getting a powerful glacier out on the cheap.