It won’t work with a regular drive without an adapter, since the laptop has a proprietary connector. When you search for replacement hard drive macbook pro 2013 one of the first links is a guide from iFixit.com explaining everything. Meaning it can work with an adapter if you storage driver supports the drive. When reinstalling the OS on a blank SSD your MacBook will default to its original OS version. If it is not High Sierra or higher it will fail since those versions before do not support NVME! Since mentioning NVME it seems to be a PCIe not SATA interface. If you are unsure what you are doing there seems to be a compatible third party SSD listed in the iFixit guide.
For many years the only possible replacements or upgrades for those SSD were to :
– replace with expensive used SSDs pulled from Apple laptops
– replace with expensive SSDs from OWC (Aura Pro, Aura Pro 2) or Transcend (820, 850)
– go the DIY solutions buying a M.2 AHCI SSD with an adapter e.g. Samsung 941 or Samsung 950 SSDs.
MacBook Air from Late 2010 to Mid 2011 (MacBookAir 3,1 to MacBookAir4,2)
MacBook Pro Retina from mid 2012 to early 2013 (MacBookPro10,1 to MacBookPro11,2)
These two models above come with a M.2 AHCI SATA SSD and use a SATA interface. They are definitely not compatible with M.2 PCIe SSD. The PCIe M.2 format looks very similar to the SATA M.2 format but it won’t work."
Like I said, it has been a while since I used them, but I did like them enough to post about them. I don’t recall any failures. I think they had very fast shipping, but I am also very close to them.
I think it comes down to how much money and time do you want to spend on this? There might be cheaper adapters available, but I’m not sure how compatible they will be. The OWC drives are bespoke for your Mac. Again, it’s been a while, so maybe the DIY market for Macs has more choices.
I remember with 2.5" SSDs, I think I had to replace it with a Samsumg or whatever the OEM was for Apple at the time. The software was tuned to whatever they were installing and they didn’t bother to add generic compatibility with other vendors.
In this case, I don’t know, but I would try to get something closer to the OEM.
I bought both and the long adapter inteferes with the bottom case when closed. The short adapter doesn’t have the same problem. I’m currently using a 1TB SK Hynix P31 Gold in my 2015 13" MBP and got no complains.
You can find all the info you need in the MacRumors thread linked by @imrazor