I recently picked up a Limited Edition PlayStation 4 Pro 1TB Console with Destiny 2 and I never got my Coldheart Exotic or Kill-Tracker Ghost after I completed the campaign and reached level 20.
Included was the PS4 Pro console + Accessories and Destiny 2 with Digital Content Pack. I entered the code for the Digital Content Pack but was only given access to the "Premium Digital Content Pack" and "Expansion Pass".
Yes, I have entered all the codes given in the Physical copy case and checked the box entirely.
And yes, I have checked the Gunsmith and Shaxx, restarted the game several times and even reinstalled the game on my PS4.
Here is what my PSN Store Download List looks like with the most recently purchased items and it is clearly missing the "Destiny 2 - Coldheart Pre-Order Pack" - https://imgur.com/a/aGasT