Yes, but not nearly as significantly as the label end. And still head and shoulders above not having the right box or none at all. 
Tobyone, something I have made a practice of... always open your Colt boxes from the non-labeled end, and as seldom as possible. Depending on the model and configuration, maintaining your Colt box might save you hundreds or thousands.Thanks I bought this 6" SS new in '95 put about 20 rounds though it and had a good friend keep in his safe until I got a safe of my own. I know he moved the safe several times . At least it was the blank end!
Here are some photos of a few of my "modern" one owner NIB Colts which are complete and in new, factory test fired only, condition. In today's market each of these "packages", would suffer significantly in value if its box label were not a part of the evaluation or sale. All of this packaging would be relatively worthless if it could not be identified as being the firearm's original factory box, paperwork, desiccant paper, plastic, etc. One could no longer have the advantage of owning or selling a "NIB" Colt. It is the label that connects these items of packaging to the firearm, and collectors pay significant premiums when it is all there and all authentic.'Hundreds or thousands' is going to be a bit of a reach, unless cheaply-produced cardboard becomes the deciding factor in purchasing over the weapon itself and the condition that said piece is actually in.
Especially for modern stuff.
Excellent Colts.Here are some photos of a few of my "modern" one owner NIB Colts which are complete and in new, factory test fired only, condition. In today's market each of these "packages", would suffer significantly in value if its box label were not a part of the evaluation or sale. All of this packaging would be relatively worthless if it could not be identified as being the firearm's original factory box, paperwork, desiccant paper, plastic, etc. One could no longer have the advantage of owning or selling a "NIB" Colt. It is the label that connects these items of packaging to the firearm, and collectors pay significant premiums when it is all there and all authentic.
The Colts that I have shown below are of rather common configurations (except the Combat Pythons). Certain configurations of Pythons would benefit in the many thousands of dollars by having with it, the original box, box label and paperwork. Any 3" model of Python would fall into this category. The more rare versions, like the Wilkerson/Carroll Combat Python, or a Nickel 3" Standard Production Python would fall into the category of many, many, thousands of added value when its original packaging is all there.
I may be conservative in these estimates of premium for the packaging. It could be a good conversation, in another thread perhaps.
Hundreds:
A Thousand or More:
Many Thousands (I do not own these):
Lew Horton Combat Python:
Wilkerson/Carroll Combat Python (I would guess $5000 at a minimum):
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