I bought these items....

ASUS ROG STRIX Arion Aluminum... https://www.amazon.com/dp/B07ZKB4SLK?ref=ppx_pop_mob_ap_share

With accompanied ssd...

SAMSUNG 980 PRO SSD 1TB PCIe 4.0... https://www.amazon.com/dp/B08GLX7TNT?ref=ppx_pop_mob_ap_share

And...

SAMSUNG PRO Plus + Adapter 512GB... https://www.amazon.com/dp/B09B1HYPR9?ref=ppx_pop_mob_ap_share

USB C Hub,UtechSmart 6 in 1 USB C... https://www.amazon.com/dp/B09LCLDCFK?ref=ppx_pop_mob_ap_share

And....

Stand Base Compatible with Valve... https://www.amazon.com/dp/B09QYG75W3?ref=ppx_pop_mob_ap_share

Thanks! No, it doesn't get hot at all. I used an ASUS ROG STRIX enclosure (Link below) and I never unplug it, just touched it with my finger and it's cool to the touch. The only *slightly* annoying thing about the enclosure is it has an RGB "feature" that can't be turned off easily, so I just use it as a power indicator for my iMac.

And no, I've seen no performance throttling, no disconnections, or anything that could be contributed to an issue with the drive. I do use OneDrive to back up and keep files synchronized and also Steam to back up my save files. I consider everything on the drive as disposable and can be recreated if it crashes, so no OS backups or imaging.

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https://www.amazon.com/gp/product/B07ZKB4SLK/ref=ppx_yo_dt_b_search_asin_title?ie=UTF8&psc=1

I removed the 980 Pro and put the 4TB SN850X into the console. Then, I bought an M.2 SSD enclosure for my 980 Pro. In doing research, I learned a lot of M.2 SSD enclosures are NOT compatible with PS5. I did find one that is compatible, however: The ASUS ROG STRIX Arion enclosure. It came with a USB A 3.1 to USB C cable that you can plug into the back of the PS5, then plug into the enclosure. The cable, however, was defective. I had to buy another cable from Anker which worked. There's also no heatsink necessary as the enclosure acts as its own heatsink.

As for the transferring, unfortunately, if you transfer games from the internal drive to the 4TB SSD, you can't just insert it into the console. If you intend to keep the 4TB SSD as an external drive, then do what I mentioned above and get that enclosure. But if you want it internally in the console, then you'll have to download everything all over again. It's a pain, but with the amount of space you'll be left with, you won't have to do that again for a long time.

Also remember, you can't play PS5 games off of the external drive, only PS4 games. Even if its an M.2 that's compatible with the console. I tried. You can store PS5 games there though. This is why I switched out the 980 Pro for the SN850X. What type of heatsink are you using with the 980 Pro?