As a society, it seems they were obviously respected and feared. That said in general terms every relationship we've seen so far other groups of spren didn't get along with, hated, avoided, or feared the Honorspren. Highspren? Extreme enmity. Inkspren? Didn't like them. Cryptics? Doesn't seem like they would like lie obsessed people who prefer truths over oaths. Reachers and peakspren from what we've seen actively avoided any place likely to have many of them. And the ones we've seen were traders! The most likely group to go meet with others.

Humans had the recreance. Singers betrayed them. The Stormfather was around, but if they had a falling out that fast and thorough it didn't seem like he was super heavily involved with them. Odium killed honor and corrupted spren are, well, corrupted spren.

Did they get along with anyone that wasn't an exception to the rule? And if they didn't, which seems to be the case, how the hell did they become so influential post recreance and genocide? Are they just that effective as a military? I have to imagine Ashespren would be pretty scary as an opponent too. Though there is something to be said for the effectiveness of training and cooperation.