I think the real argument or concern behind this is, do we have a soul?
If not, then yes, stepping into a transporter means that you die, and that some other version of you continues on, but that doesn't matter because nothing was actually lost.
If we do have a soul, then the question becomes, does your soul survive the transport?
If it does, then it's no worries, it's just a means of transportation.
But if it doesn't, then does the version of you that pops out of the other side have a brand new soul, or is it now soulless?
And finally, how could we ever tell?