That's the same for me when I'm overloaded enough. I just have things in my head fall apart and then I can't adjust when people want to put more demands on me for me to focus on, to process in my head and sort out and do them. Same for when people do things with me not being able to adjust fast enough/adjust properly, yeah, but that requires extreme overload for me for it to be like that (this is rare). That is not depression specific for me but I think depression with the slowness makes you less able to deal with stress too. Also depression can be caused by overload too (sorta exhaustion).

How I dealt with it was I first recognised this was going on and then I found workarounds. Like, put a lock on my door so I'm not disturbed randomly/suddenly was one example. Another example was have certain people write down the demand on a slip of paper and then I'd have time to review it at my own pace and time. I also explained to people that I'm feeling this way because of my state and it's not about them (or about me either ). Things like this. And of course, overall, manage stress/load better, over time this helped too, less chance to be overloaded like that.