Thanks for the detailed explanations. When a body like the Evangelical Lutheran Church of India belongs to both groups, does that mean - for example the LWF-Catholic dialogue represents them on praxis and doctrine or not necessarily?
Generally, yes. And no. As much as the LWF tries to be the singular voice of Lutheranism, it is really just a mouthpiece for the liberal bodies. More Confessional bodies are members of it to lend a voice of reason and hope to sway others back to orthodoxy, but the fact remains: the LWF has no teeth to demand conformity. I should note that several members of the ILC which are not concurrently members of the LWF have participated in Lutheran-Catholic Dialogues. The LCMS, for example, has participated in all but one round of the talks. I didn’t mean to imply that the LWF was the only dialogue game in town, just that it got the ball rolling. If you ask Confessionals, it’s long since outlived its usefulness. But some, like the IELC, hold out hope (and keep dual membership).
And what happens to ILC membership should the LWF institute require changes in praxis to its member churches?
We’re delving into hypotheticals. I would presume that anything requiring the abandonment of Confessional Lutheranism would result in exclusion from the ILC. The CELC is even stricter. Generally, the churches that maintain dual membership are small and in the third-world. They have desperate need of goods and services, so they bite the bullet and work with less-Lutheran bodies.
Do all these bodies/conferences see the other as (authentically,sufficiently) Lutheran?
The LWF could be convinced that Zoroastrians are Lutheran. Their only standard is the Augsburg Confession, and sometimes not even that (altered versions are often accepted). The ILC and CELC, on the other hand, adhere to the entirety of the Unaltered Augsburg Confession and the Book of Concord, considering subscription to it in a ‘quia’ manner to be what defines a church as ‘Lutheran.’ (Lutheranism is not a monolithic church, after all, but a heritage akin to ‘Byzantine’ - those rites could be Catholic or Orthodox). This means they, while acknowledging that there are Lutheran bodies within the LWF, do not recognize many of the bodies in the LWF to be orthodox Lutherans, if Lutheran at all. Sometimes you’ll get
an official announcement, but more often than not you’ll just live with the fact that because two bodies do not share fellowship/communion, one is deficient in some way. This varies by degree. You know that good ol’ Pope Shenouda “Orthodoxy is orthodoxy” quote? Same-ish deal with Lutheranism.
WELS/ELS and the LCMS recognize each other as authentically Lutheran, though each would say that the other suffers from heterodoxy.
When the three get together, they discuss certain matters and then hurl friendly rebukes and calls to repentance at each other. The LCMS saved WELS from heresy back in the 1850-60’s, and WELS/ELS called Missouri to repentance during the tumultuous 1960-70’s. Both essentially saved each other. Not so different from Orthodoxy in that respect. Good family.