Can't speak to the Azure Resource Management API's but I've had a very different experience with Web Apps, Azure SQL, Storage, Traffic Manager. Other than a few short-lived bouts of missed writes into Service Bus and Cosmos (their worst product, IMO) the platform has achieved 100% uptime for us for several years. Pretty amazing. From what you're describing I'm guessing you're REALLY not their average user and they de-prioritize quality on your use cases. Probably better off on another platform if you can help it.
Some stuff works really good, I had very good experience with the Table and Blob Storage, Traffic Manager as well. But seriously, these are pretty basic services. ;-) What did you host on Web Apps if I can ask?
It's basically a SASS eCommerce app. Kind of an enterprise class OLTP solution, but with pretty unusual traffic bursts and due to what we're selling very high DB contention. We test with 100,000 concurrent users, have achieved about 10,000 orders per minute--much more than our credit card gateway (Stripe) will allow us to process. There are some rough edges here and there, but I've experienced just as bad and sometimes worse with AWS.
