For others, their appsec team(s) is/are constantly building security libraries, frameworks, and tooling, and scanning code for security issues with software and manual review on a daily basis.
Information security is still just a checkbox for a lot of companies. This is gradually changing with more and more breaches in the news every few days and executives who are finally starting to appreciate that the consequences of a breach can be very bad, but it's still pretty common. I really don't think many companies have solid appsec teams that are doing the things you and I would hope they would do, and I agree that probably a scarily high percentage of "application security analysts/engineers" do not and cannot review code effectively.
You are absolutely right that knowing how to write and read code are crucial skills for many aspects of infosec and that a lot of people neglect that, and it's disheartening that there are many companies who don't really have people like that on their security teams - even companies that claim to have an appsec program. But application security is also only one aspect of a solid information security program, and some other aspects do not necessarily require development knowledge beyond the basics.
From what I know and have experienced to a small extent, FAANG (and others in/near that tier) invest a ton into application security and really are doing it right, at least. (Or are at least doing it way better than 99% of other companies out there.)