i wouldn't be surprised if they don't actually have the hanger to give to you. i think many of the department stores only use the fancy wooden hangers (like you see for tom ford and loro piana) for display, and actually receive the garments for sale on shitty plastic hangers or not on hangers at all. if we were talking about a composite mainetti hanger (like those used to display kiton, isaia, cuccinelli, et al), i could relate--unless i'm getting a deep discount, i expect one of those to be included (and i expect it to be the right size--sometimes it isn't because many sales associates don't realize that hangers are sized).
it's a nice touch that the tf boutique includes these with a purchase, but worth remembering that nothing is free--you're paying for it somehow.
if you are thinking about getting your own hangers, consider toscanini as an alternative to the hanger project (http://www.toscanini.it/#/prodotti/
-- i prefer the ones featured on this page to the su misura line). looks like that's where loro piana sources their hangers, and i wouldn't be surprised if tf uses them too. mainetti's consumer offerings unfortunately suck. their composite hangers (those used by the brands mentioned above) are a good, lower-cost alternative to wood and i would consider buying a bunch of them if they made an unbranded version for retail sale.