Earlier quoted context omitted.
Without gas, Russia is in a worse position at the negotiating table, since it cannot promise to resume shipments in return for removal of sanctions. This is actually something that the pro-war faction (and Putin personally) would love. Conversely, the elites who want to revert back to status quo before the war would never do this.
This is not correct. Gas supplies are controlled by state-owned corporation. Putin and this corporation are one. There is no multi-factions within this organization. It is 100% under Putin's governance. If there was interest to cut supplies, they would have done this publicly. And they have the PR/Media to spin the story however they want. On the other hand, elites don't benefit from this gas supply. For example, it…
And yes, of course, for the peace faction to make use of it, they'd need to carry out a coup to remove Putin first, so that they are in control. That's precisely why it all adds up.