You may not think so, but this area is a hot topic of research. E.g. poor nutrition at the wrong times of life has a measurable genetic effect on children.

Viewing this as just a matter of what DNA gets inherited is too simple a model. There's a lot more that goes into the picture in terms of gene regulation, a topic that for eukaryotes is still fairly young and very complicated. E.g. a lot of "junk" DNA isn't, in that it has regulatory roles even if it doesn't code a specific protein.

Within the last few months there was an interesting HN item on this topic.