"Timeout" doesn't mean "being along" (it may, and that may be helpful for some kids, but it's definitely not for all of them). I have spent many timeout sessions sitting on the bottom step alongside one of my kids while they're losing it next to me (or on my lap, or wrapped in a bear-hug). Eventually (in my case) they calm down, and we'll generally have a bit of a conversation, and then I'll generally leave them alone for a minute or two (mostly to give them a chance to process our conversation and "reset" the situation).
"Timeout" doesn't mean "being along" (it may, and that may be helpful for some kids, but it's definitely not for all of them). I have spent many timeout sessions sitting on the bottom step alongside one of my kids while they're losing it next to me (or on my lap, or wrapped in a bear-hug). Eventually (in my case) they calm down, and we'll generally have a bit of a conversation, and then I'll generally leave them alone for a minute or two (mostly to give them a chance to process our conversation and "reset" the situation).