The name predates the standardisation. The committee did not come with the whole thing themselves, rather they adopted and expanded already existing library implementations. You could move in C++, with this exact name, long before C++11.
See, for example, this implementation https://stlab.adobe.com/group__move__related.html
Howard Hinnant's original move proposal for C++ is from 2002. And by then even the destructive move (the more useful operation and the semantic provided in Rust) was well understood.
Hinnant said they couldn't find a way to do destructive move and have the C++ inheritance hierarchy. To me it's obvious what loses in this case, but to a C++ programmer at the turn of the century apparently C++ implementation inheritance ("OO programming") was seen as crucial so C++ 11 move semantics are basically what's described in that proposal.