/usr/local/lib etc is for user installed stuff usually outside your package manager. For example on my Ubuntu based Home Assistant box /usr/local/lib/python3.6/dist-packages/ is empty.
You could try moving the tree of files starting at aiohttp to say your home directory and see if that fixes it. For reference, python3-aiohttp is not installed on my system but it is installed in the Python env that I run HA from. I suspect that the hand installed one you have is being used in preference to the one that HA actually needs.