Our odyssey oil change computer comes up around 5k, so that does seem to be the right interval.
I have had the van muzzled most of its life. Currently it isn’t, but I will again at some point (figure it’s good for the system to operate to some extent).
The engine is prone to some varnish, which is something I’m not used to. It has seen synthetic oils 0w-20 its whole life. Runs great and smooth. MPGs on on the highway (we can get 30 if super careful and zero traffic, usually 28), but poor around town.