The thing is though Xenia, you have to have healthy children and be in a position to afford infallible childcare to say that having children isn't going to affect your time off. I've had about 6 days off sick in the last 10 years (5 of which in one go when I had shingles). But I've had loads of time off because of my DC.
Most children pick up bugs from time to time. If you're relying on CMs or nurseries, they won't have your DC so you have to have time off, especially if you don't have family support to step into the breach, which is increasingly the case as people move around the country chasing jobs.
Even if there was 100% gender equality in the workplace, that would still leave 75% of parents in a position where they cannot afford a reliable nanny (based on ASHE national earnings stats).
What is needed is an increase in paternity leave, flexible working patterns in all appropriate industries, and a strong political drive to get more men into caring roles so that it ceases to be the mother likely to take time off, and could be either parent equally.
We need to get part this dichotomy of career v mother set up. Yes some careers are always going to be incompatible with being a parent (or at least being the primary parent), but just as many (if not more) are not.
In a society where more than 80% of people become parents, there has to be a better way of creating working patterns suitable for 21st century life in which children are a normal feature. It should be normal and expected that parents will want/need time off for sick children or the school nativity play (just as others will want time off for elderly relatives, etc). I don't see why any parent should feel the need to apologise for that. I have taken time off for all these things and can honestly say that my work or commitment have not suffered as a result. That would be the case in many other sectors as well, and if more male parents pressed for it, I truly believe it would become normalised much more so than is currently the case.
I too have used the fact that I am a single parent successfully (though not without stress) juggling childcare and work to my advantage, but I'm not naive enough to believe that it's all about spin. It isn't. If the ability to juggle children and career was really respected by society there would be far more women in the workforce at a higher level and more men would be clamouring to do it than is currently the case.