Did you use a Realtor in your purchase? If so, have him/her get it. If not..well then you should get it. Depending on the builder..some don't really like for you to have documentation of walk through items..they may hope you forget.
John is correct in that a reputable builder would welcome a home inspector and a reputable agent would certainly in almost all cases URGE you to have your own inspector.
As I say.."It costs you nothing to use a well qualified Realtor to purchase your home, but it can cost you plenty if you don't".
There are a host of other things a quality agent will speak with you about in buying a new home including but not limited to different ways to amend the builder contract, financing, how best to address closing cost credit, mechanics lien insurance etc.
Feel free to contact me.
Erik J. Weisskopf, ABR,CDPE,CRS,GRI
As a retired builder, I say that you should always have a copy of a walk through inspection. Keep calling until you get it. I also welcomed home inspectors. Maybe this is a wake-up call for you to engage a home inspector. I would hire one who is both state-licensed and a member of the home inspector's trade association.
Everything sound good up to you not getting a copy of the document. As a rule, one should never sign anything without getting a copy of the signed document. Consider contacting the manager and making this request sooner than later.