The stock (Samsung) drive(s) that shipped (from Apple) with these machines do not; unless the black, outer covering helps with heat. [???]
I have had both a Samsung MZ-JPU256T/0A1 (256GB) and Samsung MZ-KPU1T0T/0A1 (1TB) installed in my machine without issue.
Third-party drives may include or heatsink and/or require at least 10.13 (High Sierra).
As long as the drive is not the Plus version, you may be able to use an adapter in order to use that SSD in your MacPro6,1:
I have not tried this, but am, currently, researching a fix for a machine in my care.