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Notes -
No, that would seem to be a disadvantage of a high pressure pipeline based on the methane hydrate phase diagram you linked, looking at the chart as pressure goes up so does methane hydrate formation.
Supercritical methane: above -82 C and 46 bar
NS1/2 Operating from your first link: 2 to 6 C and 220 to 106 bar
Methane hydrate from the phase diagram you linked elsewhere in the thread: NS1/2 is pretty much exclusively operating in the methane hydrate range, at 2 - 6 C it looks like you need to be under maybe 20 bar to be out of the methane hydrate zone.
So if NS 1 has been operating in the methane hydrate zone for 20+ years why has it not had any issues until now? Well if no water is in the gas stream then no methane hydrate can form. And going off of steam tables and partial pressures at the injection state of 220 bar and 6 C the water content is 43 ppm, which does not leave much water at all for methane hydrate formation. Even less if they stuck the gas stream through a final dehydration step.
Given the above I really question the methane hydrate theory, especially in NS2. I could see at least being possible over time in NS1 as a build up they ignored. But still very doubtful, you'd have to assume that the Russians and Germans both ignored it. For NS2 which hasn't ever been sending gas through, any methane hydrate would be forming out of at most 43 ppm of water that was originally in the pipe when pressurized. Which is a very small amount of methane hydrate.
Above is also assuming that the Russians were not adding any kind of methane hydrate inhibitor to their gas. Or doing any further dehydration after compressing and cooling. Either way the gas is very dry to begin with, so there is not much water to form into methane hydrate, so there won't be much methane hydrate.
https://upload.wikimedia.org/wikipedia/commons/b/b4/Methane_Hydrate_phase_diagram.jpg
https://www.engineeringtoolbox.com/methane-d_1420.html
https://www.thermopedia.com/content/1150/
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