After a closer look they actually seem to be the same, I just got confused by the video being a lot less detailed than this walkthrough. I just replaced the screen of my macbook following this guide (yay!) without any previous experience of fixing macbooks, though I must admit I assembled a few desktops at the dawn of the millennium. The only slight problem I encountered was that the main display cable wouldn't lie flat enough in that corner, it kept sticking out, and even after screwing the lid on the gap at that corner seems to be a tiny bit wider. But the laptop is working anyway.
Thank you Sam for posting this guide! It saved me a lot of time and money. Being in China I bought the display assembly on Taobao for $250US whereas the shop repair estimate that I got was around $400.
If anyone is still having doubts - you can do it!
I've been browsing guides to this model and I don't get how in this one on Youtube the laptop looks completely different, although it also claims to be A1502. Either one of them is a different model or I'm really missing something?