Re: Gmail "no photo" having priority over photo from Aqua Mail Exchange
Sounds like this is Android's "contact aggregation" -- and it might be something hardcoded into Android...
FWIW, on a Sony Z3 with Android 6 too, I also have have the Gmail account turned off in Contacts app and do have at least one duplicate with no image in Gmail -- but Contacts is picking up the image from Aqua Mail.
And it does that even if I enable showing those Gmail contacts in Contacts app.
Strange.
What if you "unlink" a contact that's like that?
Re: I'm not getting any photos at all on the Note 4
Please try to long press on the account in Aqua Mail -> options and folders -> Exchange options.
Uncheck "sync contacts" wait a few seconds, re-enable again. This will make Aqua Mail delete all of its synced contacts and re-download from scratch again.
I don't own a Note 4 only a Samsung tablet but it also has 6.0. Will try it a bit later.
---
For now my main task for the day suddenly became reinstalling Windows 10
I don't use it often, but still, and it just started acting up...