If you come at it With the expectation that men will do a crap job, then they're not going to bother. Same as all these little girls being told power tools are a man thing, so they leave diy to the man.
Jesus Christ.. I have one of the more hands on of my sisters and friends partners, but he hasn't bought a single bloody present this year (so his family are missing out - because I stopped doing that job ages ago), I was the one that got us out of the house to buy a tree, I'll be doing the Christmas food shop. Sure, he'll probably help cook, but I'll be the one peeling spuds and dealing with the kids because he gets too grumpy if he has to perform a task whilst being interrupted. I decorated, and got the stuff for the kids school parties and performances - we both work full time I might add.
Hearing the reality of women's experience is not 'buying into sexism' - I know, that given the chance, my other half would let me do absolutely everything - it's only firm words, and discussions about fairness that keep him engaged in running the family, otherwise he would just assume that things will be done by me.
Happy to let him take over any tasks he likes - in fact, that's my preferred method of delegation in his case - hence his sole responsibility for the dishwasher and bedtimes.