I've had some limited success with this, occasionally substituting ginkaku with fu. Both give the extra 20 chakra that lets you use nagato in round 2, as well as enough crowd control to survive round 1. Nice to have 3/4 of the lineup purged of debuffs each round. Usually using a 3-2-3-2-2 dog of hell

https://kek.gg/i/89t6p-.jpg

Trying something with the new kakuzu, since they purge debuffs twice a round, but no success yet. ET deidara would probably pull the whole thing together.

All in all nagato does not seem worth it. Probably why I see almost no one use him. The high price point, low damage, and non prompt mystery. I've tried nearly everything to make him work but with little success.

Here is another nagato lineup I've been using. While not great it does seem to be an improvement over what I had.

https://kek.gg/i/5Qpwy5.jpg

3-2-4-3-2 for better healing and improved combos or 3-2-3-2-2 for chaos chase. Either way I'm using chameleon until I have a better summon.

Having nagato in first position lets him shut down mabui teams that require early chakra, with the added benefit of making him immune to debuffs for most of the round. Even if he gets controlled the heal/purge from kakuzu can trigger from a chase and heal him before standard attacks start.