Yes, that is all you need. You twist the ends of the copper wire together and trim. A smear of epoxy can be added but is not necessary, some people even advise against it. Never solder the conection.
I have found that once the copper tube is bent with the wire inside, it is extreamly difficult to pull the wire back out. Remember, this is 1/16 in. copper tubing and there is little play between the .27 leadout wire and the tube walls. Slippage will not be a problem and very little strain will be placed on the bindings. Hope this clears that up.
Bob