I buy new every year and I always setup as new. Everything important (texts, pictures, etc) sync back to the phone after you sign in with your Apple ID. Then, I just download my apps. No big deal.
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This is an ignorant statement. Many times an iPhone might have a small issue and restoring and setting up as new corrects it.
I have to agree with both statements.
If you have an issue with your original iPhone, then yes, you should set the new one up as new.
However...
Other than that single reason, you should back up and then re-import all your apps and information from the cloud.
I know I personally have dozens of apps, all organized in folders.
Do I want to spend all the time re-downloading and organizing all that information?
Of course not! It's so much easier to back up your phone and then do an import from the cloud.