It's surprising to see this old thread resurfacing ... yet again. I too have seen the warning to not use boiled linseed oil on oak, one which I've happily ignored all of my furniture making life. I don't recall seeing these warning back in the 1970s, '80s and '90s, and they seem to have started appearing sometime in the 00s-- of course my memory could be playing tricks.
However, and without any real sources to back it up, I think the warning may have something to do with any protein or food like qualities in the oil when used on exterior furniture in particular. For instance, when I make outdoor furniture from oak (or other woods naturally suitable for this purpose) there's a decision to be made about applying a finish, or not. Oak is a durable wood anyway, so I never consider applying any sort of film forming finish such as paint or varnish, as these require maintenance which, frankly 99% of customers won't do, or only do poorly, so applying paint or varnish is really a waste of time. Generally it's just a question of leaving the wood bare and letting it age and weather naturally or for a more attractive picture for the portfolio, slapping a bit of linseed oil on to bring out the colour.
What I have noticed is that oak left bare and stuck out in the weather goes through stages and takes on the naturally weathered look after a year or two. Stuff that's got linseed oil on it looks attractive for a couple or three months, and then goes through a phase where there are spots of particularly unattractive black mould (or perhaps bacteria) nourished, I suspect by some protein or some other foodstuff in the linseed oil. After a while the natural ageing takes over as whatever foodstuff is in the linseed oil is all used up, and those especially nasty looking fungi (bacteria?) seem to disappear. I suspect that if there's a lot of linseed oil applied, or it's applied two or three times a year, that ugly black stuff will keep thriving until that particularlar food source is all gone.
Of course, I could be talking cobblers, but that's my theory, so I'll stick to it until someone offers better evidence to the contrary, ha, ha. Slainte.