If I understand you correctly then, the term 'teleportation' is entirely misleading in this context.
I am also wondering about another issue: Heisenberg's uncertainty principle. How can you accurately gauge the state of a particle, in order to 'transport' it elsewhere, when Heisenberg seems to be convinced this is impossible to do?
Thirdly: 'teleportation' as you explained it, seems to me to be more of a game of "Let's see what's over there, then observe this spot here and wait until some particle randomly displays characteristics similar enough to consider it equal. We can then pretend we did it with science!". Is this the case, or do they actually 'do' something on the other end to create a new particle with a specific state?
Disclaimer: I am very much an arm-chair physicist with as much understanding of this subject matter as the average doormat.