Update: (Not on the OP's wild yeast infection, but on my own very first crude and deliberate attempt at open/wild fermentation, inspired by this post - see above)
I got pretty decent activity in my open bucket after 24h, with plenty of krausen building up. I let it ferment for a few more days and bottled in PET plastic 1L bottles, for safety. The wort did not give off the usual yeasty smell, but it was not unpleasant, either. Clearly there was plenty of fermentation still going on, because the bottles puffed up rock hard after a couple of days. Even after refrigerating, the bottles gushed almost uncontrollably.
The result? Nothing smelling or tasting like (normal) beer. I took a whiff and a few sips. It had what I would describe as a sanitized hospital ward smell. Something like isopropyl alcohol. Perhaps like the band aid smell folks sometimes identify in brettanomyces. I dumped the whole small batch (it was just over 4L/1G of leftover wort from my "real" brew). If I was in prison or in a desert island I could see myself drinking it. It did not have a nasty taste, but definitely not good either. Is it likely that I just got a pure brett brew? On a positive note, I'm still very alive.
On a final note, can anyone point me to a good guide to help recognize and identify the most common "off flavors" (that can also be intentional components of some beers)?
Wild brews need time. They really need a lot longer then "normal beers". The reason is, that they are going through stages and these stages do not taste pleasent. If you would have waited longer, chances are high that other yeasts/ micro organisms would have taken over and either got rid of the off flavour causing components or masked them or whatever else might have happened there. The earliest wild beer I have ever heard of was ready for botteling after 3 months. But much more common is 6 to 12 months or longer. I have a wild mead here that started to be drinkable after 1.5 years and continually gets better and better..... so next time, give it wayyy more time.
But if it REALLY tastes like vomit, crap whatever, something went wrong, dump it.