Hello Thanks for reaching out & posting on the MS Q&A!
You're on the right that it's done in the host.json
config file. You can control how much logging is sent to App Insights by setting the threshold of log level as discussed more fully in the following documentation: Configure log levels
Depending on your specific use case with various bindings, there may be some additional fine-grained configurations that can be done but the doc above is a great starting point.
I hope this helps, if you have any further questions, just let me know ;)