I'm not so sure "break-in period" is the correct term, but I do believe there is a period of time where machined parts lose their sharp edges and start to interact with their neighbor a little better. Also, if you've ever taken a new knife apart and washed it thoroughly before lubing and re-assembling you'll notice there are filings and other small bits and pieces that come off that were left behind from the manufacturing process. In almost every case the knife operates better after the wash and re-assembly.
Also, from experience, my new SnG was butter smooth after opening and closing it around 1000 times (yes I counted - I'm an engineer it's what I do).
My new ZT 0500 operates a lot smoother now that I have taken it apart, cleaned it and reassembled it.
Remember to check the tightness of all torx screws and other hardware after you've used a knife for a while. I find in most cases they need to be tightened. YMMV.