Accessing the web interface of my nextcloud creates runaway apache processes consuming 100% cpu

Ok, this should obviously not happen. I see from your logs, that the logreader app creates a few requests over time. Perhaps it doesn’t work well with theming?? Or perhaps use the developer tools of your browser to see which resource takes so long to be loaded.

Did this error appear with an update? Or just related to theming? Perhaps you can try to apply similar theming stuff to the demo setups and see if you can reproduce it: