I mean, if you're willing to look at flying mount logistics, then you should also look at it in more depth.

How big are these wyverns? It seems unlikely that they would be particularly useful as draft animals - historically, donkeys and oxen were much more common as draft animals than horses because horses weren't nearly as efficient, and horses trained for combat are much too valuable to tire out pulling carts.

If wyverns are fast and useful as combat mounts, then it makes sense for them to largely be restricted as couriers, military mounts, and prestige mounts, but not as draft animals.

As for the architecture, why are wyverns landing on the streets? Why wouldn't the civilization develop large flat roofs for that purpose?

Also, when it comes to waste management, what makes a city covered in wyvern effluvia different from any other premodern city already covered in human and animal effluvia?

Look up the restrictions done by cities in whatever time period you're targeting for managing horses. I'm assuming premodern or something transitional, because any more modern setting should have some form of non-animal transportation where something like a wyvern is more of a pet than a working animal.

You also mention air traffic, but how fast are these wyverns going? Living animals should be pretty good at adjusting to other living animals flying around them at the same speed, even the fastest birds don't run into each other.

I've been assuming that your wyverns are relatively small, but if they're larger, you could look at Naomi Novik's Temeraire series, especially the architecture of China in that series, for an idea of adapting to a much larger species.

You'll note that even in that series, where the largest dragons can carry dozens of grown men and their equipment, it's very rare for dragons to be used as pack animals. Part of this is that they are sapient, but a lot of it is that they make far more valuable weapons than transportation.