Woodland Spirit isn't that strong when ressed. The first time it also summons a Harpy and Roach. The 2nd time it only summons a Foglet (if it wasn't stolen). This means it's only marginally better than Caranthir in terms of raw power. If you would play Yennefer afterwards with 4 more units on the board than the opponent, you will get a 15 strength boost, which is okay for a gold card but not particular strong. The Rabid Wolves (from Woodland) have some extra synergy with BTM and CH, but for that having a Celaeno Harpy would also suffice. All this means that while a ressed Woodland Sprit is still strong, it's not strong enough to warrant a doomed tag.
I've seen so many of add doomed to this card or that card... What's the point of Renew if you doom all golds then? Nah, don't do that. I think doomed tag should be restricted to tokens only and then if a gold or any other card is OP, just balance it in some other way.
Ge'els and Royal Decree are meant to thin your deck of golds. That's the whole purpose of those cards. As such, it doesn't really make it a valid argument. Anyhow, Woodland Spirit is an important target, not because it's that strong in raw power, but rather because you need to pull out Foglet, Roach and a Harpy for thinning. As for Renew, see my responds to OP.