And the comment you’re replying to suggests that since many lived experiences are plausibly heritable, the term is appropriate. In any case, the context in which it is actually used in the article seems beyond all but the most pedantic reproach:

>The first is how a father’s body physically encodes lived experience, such as stress, diet, exercise or nicotine use

And that’s a single sentence partway through the article. From the beginning, the refrain is the list of the sorts of things that seem to have heritable effect, not the phrase “lived experiences”.

>Research into how a father’s choices — such as diet, exercise, stress, nicotine use — may transfer traits to his children

>Within a sperm’s minuscule head are stowaway molecules, which enter the egg and convey information about the father’s fitness, such as diet, exercise habits and stress levels, to his offspring

Etc. The article is clearly not attempting to suggest that all experiences are heritable.