The best possible experience starts with not being spied on, especially against my consent. No feature is worth that.
> What are the biggest build- and run-time errors, and are they a result of the developer experience, and can we fix this through either better documentation or better error messaging.
Make it easy to report bugs. This is a solved problem (c.f. any popular open source application).
> What are the paths to successful adoption of our software, and can we nudge potential users (through documentation or developer outreach) to get on one of those paths.
As a user, I never want to be "nudged". Ever. Do not "outreach" to me especially if you've made the decision to contact me by spying on my data.
> We polled our users and they said that they want feature A, but our usage data shows that a vast majority of our users need feature B to be more successful faster.
So your users told you what they wanted and you didn't give it to them and justified the decision based on analytics. This is where people say that analytics are good for the product manager's job in helping justify its existence but at the expense of the users.
> Our software is used most often with other-tool-A. Can we strike up an agreement with the team that makes A, in order to give our users a better experience when integrating both tools through documentation, tighter API integrations, etc.
Create great solutions. If that means doing biz dev or integrations to make that happen, go for it. You do not need to spy on your users to build meaningful partnerships.