YES, this drives me absolutely NUTS!! Besides, it's incredibly bad manners----like, when I've tried to talk to my youngest sister, on the phone, and she's watching TV..... IMO, choose ONE----if you don't want to turn the TV off (as she has a family, and it wouldn't be right for her to turn it off, while they're watching it), then go into another room. When someone calls ME, I turn the TV off, to give the caller my undivided attention, because I feel that's only proper (good manners).
Other sounds, while talking, don't bother me, as much----like, if I'm in a club, I can just tune-out the music, and listen to a person (unless it's extremely loud, and then I can't handle that, very well).
Also, there's a disorder that some people have (including myself), that makes it so one can't understand someone else, if they speak too loudly, or too quickly----it's called Central Auditory Processing Disorder (CAPD). When it happens, I feel my brain just "faints" (I don't physically faint - it's like others described, "shuts-down").
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White female; age 59; diagnosed Aspie.
I use caps for emphasis----I'm NOT angry or shouting. I use caps like others use italics, underline, or bold.
"What we know is a drop; what we don't know, is an ocean." (Sir Isaac Newton)