Does Sentry store crash events if native crash reports are disabled?

I want Sentry to store events each time my C++ app crashes. Seems like I was able to make sentry_crashpad library work with my app locally, because there is a folder that contains .dmp files (and each time my app crashes, a new .dmp file is added there). Also Sentry reports to console that crash handlers are available:

[sentry] crash handler enabled (reporting to https://...)
[sentry] started client handler.
[sentry] starting background worker

But I don’t see any corresponding events for those reports in Sentry. Also, the native crash reports are disabled on the organization level here.
The question is can Sentry store crash events (at least events themselves, without mini-dumps) if the crash reports are disabled? Or is there another reason I can’t get it all to work?