I did, same unboxing experiencing (less the product image at the front of the box). Would do it again for future purchases if the option is available.
Oh yes, forgot to mention that I got AppleCare+ along with it too. You're not be able to gonna spot the difference between a new and refurbished unit because there's no difference other than the box, model and serial number.
I just bought my first Refurbished, a first gen iPad Air, 2013 model I believe. It was packaged like new, looks completely new and doesn't seem like it was previously owned at all. I wouldn't have any hesitation to buy another Refirb.
Do not hesitate to buy refurbished from Apple! I've bought an iMac, an Apple Cinema Display, three Thunderbolt Displays, a MacBook and very recently an iPad Mini 2. I've bought by fair share of new-in-box items as well and will tell you the following (as everyone here can probably echo) - there are TWO major differences between new and refurbished in the Apple hardware world:
1) The boxes are SLIGHTLY more plain for refurbs. Basic white, but the rest of the packaging is generally identical.
2) You don't get the instant gratification of buying it in-store.
Aside from that, it's almost silly NOT to buy refurbished. Remember, refurbished everything has gone through double-checks when compared to new products. While Apple warns you about minor cosmetic blemishes, I've NEVER had one in all of those items listed above. Every single item has been in pristine & new condition and worked 100% up to spec.
My 2011 27" iMac was refurb, and the money saved almost paid for a 512GB SSD and 16GB RAM. Still going strong now (with a further 16GB RAM added) and no plans to replace until it dies! Only difference to a new one when it arrived was a white box