esta duda salio el el torneo pasado y a ciencia cierta nadie sabia una respuesta concreta
The Shards of Alara set FAQ says:
Once Elspeth's third ability resolves, it's continually in effect
until the game ends, even if Elspeth has already left play or leaves
play at some point afterwards. It doesn't lock in what it applies to.
Since the effect states a true thing about a set of permanents, but
doesn't actually change the *characteristics* of those permanents, it
will apply to whatever artifacts, creatures, enchantments, and lands
you happen to control at any point in the game from that time
forward. It will apply to such permanents that come under your
control after the ability has resolved, and it will cease to apply to
permanents that leave your control. Since the ability doesn't change
those permanents' characteristics, if any of them loses all
abilities, it will still be indestructible.
la habilidad es estatica pero los permanentes no ganan la habilidad de indestructibles, o sea si un permanente cambia de controlador deja de ser indestructible y la duda era si todas las demas cosas que bajen o que controle despues el jugador de elspeth eran indestructibles y la respuesta es si cya..