Anyone who links this to Lamarck (a) does not understand Lamarck's premises, and (b) doesn't understand genetics.
Given that many geneticists link epigenetics and Lamarck that's a pretty odd thing to say.
While I'll agree that there are big differences between the two, when you boil them down to their simplest, they are close enough to be worth mentioning together. Lamarck didn't only believe physical changes would be passed on, that's just the easiest example to explain to people. I find it hard to believe that someone as smart as he was didn't believe that behavioural changes were also passed on in this way.
It's possible, but implying Lamarck is also an implication that natural selection does not play a role in what epigenetic information is passed through the species. The fundamental difference that led Darwin to his conclusions about evolution and the process of passing information from one generation to another was natural selection, which was not a part of Lamarck's hypotheses.
The findings of this study are consistent with the models in place for evolution and natural selection, and simply indicate more information is transmitted between generations than previously thought... a conclusion which has been accumulating evidence in the field of behavioural genetics for the last decade or so. I see no need to drag a dead and debunked collection of ideas into it other than some editorial need of journalists to frame this as some startling revelation, when it actually isn't. Or at least, not nearly as much as the journalism (as opposed to the paper itself) makes it out to be.
What irks me about this is that it's being reported in a manner that say "Hey, a mainstream journalist publication just discovered there's an entire field called behavioural genetics and decided they needed a hook other than the marvelous science it produces to bother writing about it!"