No, Forest Protector is depended on own graveyard to find value, and can only play Nature cards that have already been played, whereas Lydia is limited by and dependent on... your FACTION having bronze specials? Let me know which faction doesn't have those. Or maybe there is a faction that can offer 3 options so terrible that she won't get "good" value. In fact, off the top of my head, I would say there's about 75 percent chance she hits that 5-point damage special, which is a MUCH higher percentage than how often the Forest Protector actually gets 12 points out of that rebuke. Plus, she can brick the Protector by removing the card from his graveyard. Plus, while the Protector procs Symbiosis engines, Lydia does the same, except she can also easily double proc those Assimilate engines in the same turn and the tag that "you control" (which actually controls you, as FP can only play nature) doesn't matter at all, because it will trigger Assimilate regardless.
How is this not "close" to powercreeping FP? Which part of this is incorrect?
1.) Against SK hitting the Stunning Blow is a 30% chance, against ST hitting Rebuke is a 37.5% chance, against NR hitting Oil is a 30% chance, against SY the chance to hit Payday is 18.75%, against NG hitting Coated Weapons or Assassinate is a 75% chance and against MO there exists no 5dmg Special, so I have no idea how you got to your "off the top of my head, I would say there's about 75 percent chance she hits that 5-point damage special [...]" estimation.
2.) I already stated that her triggering Assimilate is pretty much equivalent to triggering Symbiosis and outside of niche situations, how does Lydia "double trigger" Assimilate ?
3.) Being dependent on the own Graveyard is an insane upside, given that you are not dependent on the opponent creating the setup for you and you can generate actually consistent value.
4.) How does the "She counters Forest Protector" make her a powercrept card ? By that logic Xavier Lemmens is a powercrept Forest Protector.
5.) Just because Lydia is bound to find some usable Specials that does not mean that her finding something barely playable is breaking even.
Especially against SY she is going to be very unreliable (with 7 out of 16 options relying on you also generating a spender, just to be tolerable).
Against MO and SY she is pretty horrible, which is also why I compared her to Anna Henrietta, as that card can generate an amazing amount of points in a few matchups and is fairly unimpressive to garbage otherwise.
To sum it up I would say that she is most definitely not a powercrept Forest Protector.