The more interesting question is whether there's a 3rd variable we're missing.
You were right in your initial assertion: people talk over people. The people desperately trying to prove that "men talk over women" using statistical analysis are all missing the point.
The first thing to do, before looking for sex differences, is to try and identify the reasons why people interrupt, because there are many of them and sometimes there are conflicting or related motives.
Gathering anecdotal evidence would be a starting point for articulating hypotheses. What are the conditions of the discussion? What is at stake? What is the expertise of the participants? What are the personality factors? What is the general conversational ability of each participant? How long is the attention span of each participant? What is the apparent purpose of each individual interruption?
There are so many factors you could look for before looking at sex differences. And would the sex differences persist when those factors were controlled for?