Of all of his inner circle, Himmler was the only one with the ability, motive, and will to participate in some of the assassination attempts. The SS in conjunction with the Gestapo may have even consciously groomed them, for the morale boosting and propaganda power they would have. As for his attempt to broker a peace with honor, this differs not at all from the position of the Japanese military suing for peace for the better part of a year to preserve the Emperor against war crimes trials, and the Home Islands from an occupation (especially from the Soviets.) For tinfoil in this direction, I believe Rommel's forced suicide following the July 20th plot may have been more to cover Himmler/SS culpability than actual degree of participation (which was trivial, having been solicited a few times as transition-fuhrer.) Moreover, martyring him in a falseflag wetworks puts the OKH heel-dragging on strategic policy on notice (heads will roll), – you can see in the memoirs of these general staffers that they lack skin in the game – a defeat would entail some POW time in an officers camp, being debriefed by Americans. Hitler retaining them created the adversarial culture allowing the rise and favoring of Maverik talents (Manstein, Rommel, Hoth, Model even.), but the institutional passive aggression hamstrung policy implementation – Yes, Army Group North got to the Gates of Moscow, but over extension for careerist egotism after repeated orders to halt the advance to regroup/not over extend ultimately led to Operation Typhoon going in half-cocked, ending in failure.
Imagine the Junker Prussian aristocracy occupying senior staff positions as NeoCohens in their time: Manifest Destiny to the East was imperative, to the exclusion of all else, to an autistic degree. Model's success and rise to position of Hitler's favorite for much of the war demonstrated the insubordinate cognitive dissonance of hereditary title holders to the new meritocracy: strongpoint defense was vulnerable to the human waves sent against them in the North, winter 1941 – Model finds holding a continuous line with mobile battle groups in reserve to act as fire brigades to penetrations, with the help of superior artillery support. The General Staff in every case favors 'tactical retreat' to hold a shorter line at fuller strength. As Napoleon said, "You mustn't fight your opponent too often, or else he will learn your entire art of war." – However effective these limited counter offensives would be in the rest of the war, it made STAVKA wise to the method and fatally effective after combining it with their numerical superiority; the end result being the repetition of Stalingrad with the bear trap that was the Battle of Kursk (and even then it very nearly completed Operation Citadel's objectives.) If the toxic professional culture of Junker aristos had simply gotten on with it, rather than scoff at the "Corporal Hitler, le courier." meme, the TRUST would have been in place for their suggestions to have been heeded when it was actually critical (not glory whoring early in the campaign for those that didn't get to push through Belgium during the France invasion.) – Like Manstein pleading to initiate Citadel BEFORE the salient was dug in and prepared fully.
The dim view of the OKH's borderline sedition was already clear to Hitler and Himmler before the July 20th plot: if by design, a fait accompli is presented to do a Stalinesque purge of the generals (which the former would lament not doing late in the war); if intended by Himmler, he would know the tides of fortune turned against them, and he would also be privvy to the degradation of Hitlers overall health (in addition to his suspicious meth pushing doctor.) – He had to both go, and stay to inspire the troops, and the rest of non-Red Europe. The timing was ideal, peak Wehrmacht right as Operation Citadel is failing, and an OKH with irrefutable ties to the attempt. He has Poland as an SS kingdom for a power base; a personal army sworn to their leader; institutional ties to the Gestapo. All his power plays were in the interest of holding the Opiate Fiend and Date Raping Cineaste types from unworthy, corrupting influence on the most important man to the fate of Europe since Napoleon. The July 20th Plot could have been a Gospel of Judas scenario.