As the question per se covers several complex topics, I highly recommend doing some preliminary reading on the topic. For example, you are describing a symptom that emerges during interviews, but are clearly ignoring what could be the causes that need addressing. By 'causes' I mean industry, role, location, cultural and religious influences, and so on.
In particular, going through the original question:
During interviews, women tend to play down the proficiency at skills
First of all, "women tend to play down" does not mean anything and is too vague. What do you mean exactly? Have you witnessed this? Could you quantify it?
There are studies that show how this is due to external factors such as expectations set by (male) interviewers, cognitive bias, social pressure and parenthood. Have you considered what could be causing it?
Nevertheless, there are actually too many studies to be summarised in a quick answer here. There are actually academic disciplines (gender studies) that address this and other problem; a quick search on google scholar will give you an idea.
[...] and they make a big point of what they may lack. How can someone
'circumvent' has a double meaning erring on the negative. It is not clear what you ask here: are you a woman looking for advice (in which case this might not be the right place to ask)? Are you a male interviewer? A female interviewer?
Lastly, if you want a quick overview of the current situation on women and technology that barely scratch the surface, I recommend the following articles to read:
Both link are part of a larger series on women in technology that will help you phrase your question in a clearer way.