5th edition DMG seems to disagree on your view of the cosmology... And so are the planar guides so far.
And if 5ed really says that necromancy isn't evil, why don't we see any Angel with this power? It would be pretty useful. Nope, only evil outsiders have this ability so far. Not even the neutral ones possess Animate dead as a power. You don't have to specify that something is evil for it to be evil.
So, can I animate one of your relatives?
You're dead wrong on that. Even Eberron puts necromancy on a tight spot for the Evil Ability Tag. P. 22 of the
3.5ed PG to Eberron puts the church of the Blood of Vor as a questionable religion at best. They support the Order of the Emerald Claw (an evil offshoot of that religion) in secrecy. That alone puts them on the evil side. The current King outlawed the OftEC to assure peace with his neighbors and to appease a large portion of the population (about half).
Eberron's original 3.5ed setting describe the church of the Blood of Vol as deceptive and evil... All NPC priest related to them (at least the template in p.228) are evil. Evil likes to trick people into thinking it is on the good side. That is its greatest strength. Even the new 5ed guide to Eberron depict the Order of the Emerald Claw as evil (P.225-226). The church of the Blood of Vol plays a delicate game to pass itself as somewhat neutral and useful for its country. It's a rather risky thing.
It is the same thing that happened to the Great Kingdom in Greyhawk. The church of Hextor, evil to the core, passed itself as a nationalist church. This has led to the downfall of the Great Kingdom. The King of Karrnath, Kaius III must have seen this coming has he has outlawed the most evil part of the church (or at least the most evidently evil) and that is the Order of the Emerald Claw. And this banning was also to put about 50% of Karrnath's population at ease as written in both guides to Eberron (3.5ed and 5ed, I do not know if a 4ed guide to Eberron was ever made).
If you wish to make necromancy a non evil thing, that is your choice. But do not assume that 5ed promotes it as a non evil thing. It was and it is evil to the core.