I don't think it's wise to speak in absolutes about this topic, though I can sympathize with trying to quell the "will my beer make me sick?" threads.
Although that is a good general practice in life, in this case you can talk about absolutes.
I don't make the assumption that everyone who asks this question has completed a successful fermentation. If the fermentation didn't complete, for an number of reasons, the end product could be susceptible to foodborne pathogens, though this would probably be a rare occurrence. Technically speaking, though, it wouldn't actually be beer that made them sick, but infected wort.
The assumption that a beer which did not complete fermentation, and would therefore be susceptible to foodborne pathogens, is false. When we talk about things being "infected", these beer spoilage organisms are completely safe. There are three things that protect beer; first it is boiled, which will reduce any bacterial load to be almost non-detectable. Next the yeast is added. It does not matter which yeast is used, it can be domesticated brewer's yeast, or wild yeast, or even a small group of fermentative bacteria, either way they will increase the ethanol content of the beer which will kill off most of anything that stuck around. Lastly you are creating an anaerobic enviroment which will inhibit the growth of just about everything else. The addition of the hops is also a bonus, but not really relevant concerning foodborne pathogens due to the fact that hops only inhibit Gram-positive groups.
This is why I don't universally tell people theirs beers are safe to drink; though it's extremely rare that fermentations completely fail.
Fermentations do not fail, they just are not always produced by the yeasts we want.
This is an issue that cannot be stressed enough. Beer is safe. This is not the opinion of just a bunch of internet geeks, this is the repeated opinion of health professionals, researchers, and scientists. One of my favorite studies I have come across is this: Mycotoxins in South African traditional beer basically it says that even when the grain is inoculated with myco-toxin (very nasty chemicals produced by fungus) producting fungus before mashing, they were only present in the finished beer in the levels they were inoculated with. This is home-brewed traditional beer in South Africa without the advances of yeast technology we currently have. And here in North America/Europe we would never see any malt containing any significant amount of myco-toxing contaminated malt, which is the only thing I would ever be worried about in beer.