Hello, IBMer here. There are an awful lot of things wrong with IBM, but it's attitude to women isn't one of them. The many female employees get treated with just the same respect as the men (for better or worse), there is a continual effort to promote diversity and equality within the company (very much including gender equality) as well as externally, and flexible working options help women with career progression that could be otherwise disadvantaged by family commitments that do still disproportionately affect women.
I honestly don't see the problem with this video in its wider context. Yes, we've seen some highly snarky (and amusing) comments from some very accomplished women, but I don't think the video was aimed at them. It was aimed at women who might not otherwise consider a career in STEM. It uses a fairly uncontroversial line: take everyday object X and hack it to do fun things Y & Z. I'd guess that a hairdryer was chosen on this occasion as the object because it turns out you can do some fun hacks with one, "hack a hairdryer" is a nice alliteration, and its an everyday object that many women will have and relate to. Unlike (say) a kitchen sink or hoover, a hairdryer doesn't have a negative connotation of domestic duties, it's just a thing that many women (and men) use. Certainly it's an object that is more associated with women than men, but is that really a problem in context? You might argue that hairdryers are connected with appearance, and we shouldn't be focusing on womens' appearance, but as others have pointed out, they are a practical object that enables a person with long hair to keep it clean and dry it so they can go and out and do something more interesting instead.
Personally, I think this can only offend someone who chooses to take it the wrong way, and there's not much we can do about them. IBM obviously thought it was best just to apologise, pull the vid and move on.
[What's the Paris angle? NONE AT ALL :)]