@Paul-Louis Pröve Thank you for sharing your feedback. Please note that Microsoft Q&A is a place to receive technical support. For product feedback, we kindly request you to share any feedback to the Azure feedback site. The product group routinely checks here for customer feedback on how they can improve the product.
For points 1, 2, & 4 there is not enough information here to provide technical support and this appears to be more related to providing feedback on your experience. If you encounter issues with error messages being too vague, deployment issues, or issues with your app running after deployment, please create a new forum post for each issue and provide us as many technical details in the post as you can so we can help you troubleshoot the issue. We also have a meeting next week with the product group and have added your feedback for their review.
In regard to point 3, there are two ways to configure Application Insights with Azure App Service. Codeless and via the Application Insights SDK. Codeless use of Application Insights is the toggle that you see. It allows you to simply toggle a switch and start collecting logging. Codeless Application Insights is not supported for every language framework. For example, most Windows App Service languages support codeless integration of Application Insights. When it comes to Linux App Service languages, the support is offered on .NET 6 and newer but is not supported for items like Python. Since you verified in your post that you are running Python, this is why. To use Application Insights with a Python Application, please see here for more information on how to integrate the SDK.
For point 5, we try to provide all the native logging you would need within the product. If you would like a more streamlined logging experience, we would suggest you consider using a product such as Azure Monitor. For more information on how to configure Azure Monitor for your Python application, please see here.
And most importantly, to answer what I believe is the primary question of your post, any of the products you mentioned would be able to support your app requirements of using GitHub for deployment, Python, and FastAPI usage. I want to note that Azure Functions is basically highly customized App Service and uses the same code base. For that reason, some of the feedback you mentioned above, might persist. For the usage of a docker container app, this scenario would provide you more control over the building of the environment including logging. If you are used to a traditional IaaS environment where you have more control but still want the benefits that PaaS provides of less daily/monthly maintenance this can be a good compromise. For Container Apps, I do not have much experience with this product so I cannot speak to it. Lastly, another option is to stick with your current setup and leverage the forum for when you have a specific issue (ensuring you provide the necessary error messages and other technical information for us to help assist). Microsoft Q&A exists as a place for developers to receive technical support. There is a team of us dedicated to helping customers and we have monthly meetings with the product group where we can share your feedback and technical challenges.
The last item I ask is that you consider accepting this answer by clicking the button. This will help our management know we are providing you with the support required to help you on your Azure journey and helps me out as well. We'll be here to continue assisting you and would appreciate your help in marking this as the answer. Thank you