I agree with others that the photos show laminate flooring which has not been fitted or even stored correctly, hence the apparent "damage" and lack of satisfaction. There are instructions included with the product and videos are also available on the company's website providing a step-by-step and useful hints &tips. Staff in branch are also trained to advise. The customer obviously failed to avail himself of any of these prior to "installation".
Even the power of social media will not net a refund or exchange when the customer has clearly not paid any heed..
Complaining about the shop refusing to open a "case" which had no merit in the first place is a waste of time.
Why would a recording of the initial complaint call be of any use? A few sentences earlier the staff were described as "apologetic". Regardless, there is unlikely to be any such recording if the call was to a local branch.
I suppose the retailer might settle just to be rid, but the customer should not count on it. The more likely outcome is that a rep from the manufacturer of the laminate will be despatched to inspect the floor and confirm that it has been poorly fitted. I expect this is the "Third Party" referred to.
I'm thinking this thread should be posted on the "Praise Vents and Warnings" board, as there appears to be no Consumer Rights question in the OP
With a grand total of eight people following !