I have observed this behavior consistently now across 5 or 6 official servers located both in the EU and US. When pressing Tab to open my inventory, the whole screen freezes for about a second before the inventory opens. This happens most often when the server is highly populated, and / or my character is located in a busier area.
My PC setup exceeds the recommended settings for DayZ, so it is not a hardware issue on my end.
This issue does not always happen when the server is lower population. It is annoying however and undesirably affects gameplay, as having to wait a few seconds to use my own inventory means that opening the inventory can be costly during a fight. Attached is a video of the stuttering behavior that makes it pretty clear to see. This behavior has been observed by several other players I've spoken to as well.