In lieu of not trying to track down what I've learned / researched twice now, I'm recording my methods and tools here for future reference. Hopefully others will be able to make use of this information as well!
I've created a small and simple python flask-based webapp which makes use of Werkzeug's ProfilerMiddleware and SnakeViz to visualize a request - you can find this example and the quickstart on GitHub. After 7 quick steps, you'll be presented with something similar to below:
Generating profiling data
Viewing profiling data