Just a thought, but perhaps speeds up Hitler’s other allies abandoning him (maybe not much, but at least a bit. Think Hungary, Romania, Finland. Like perhaps Horthy might fast-track negotiations to change sides, or Mannerheim moves faster to take Finland out of the war. Probably only a few weeks difference anyways, but still maybe a possibility.
Actually, Horthy did attempt negotiations for a change of sides, but the diplomatic offer was refused outright (they were told that they would need to surrender to Stalin) and the clandestine meeting was then announced to the press, so the negotiators were arrested by the Germans upon their return to Hungary. Germany officially occupied Hungary a few months later.
After that, Hungary was in no position to liberate the country from German occupation by itself, particularly with most of Hungary's army still engaged (willingly or not) against the Soviets, as well as the potential problems in dealing with German armored units, but had made it clear that they would willingly change sides if the Allies got close enough to provide support. Unfortunately for them, the Allies had already given up on the "soft underbelly" plan by that point, as it turned out not to be very soft at all, and went no further than Italy on that front. Many Hungarian troops at the front were still half-expecting US paratroopers to land at any moment, to help liberate them.
Then Romania changed sides, with the Soviets driving them from behind, using them as expendable distractions to soak up Hungarian fire while they advanced their armored formations into Hungary's southern plains. Hitler held Budapest for as long as possible while his SS troops rounded up as many of the refugees from other German-occupied countries as possible, who had fled to Hungary to escape being sent to the camps. If Hungary could have abandoned Hitler sooner, it would gladly have done so.
Romania could probably have abandoned Hitler sooner than it did, but the political tension between Hungary and Romania may have made it seem like an unwise idea to give Hungary an excuse for reclaiming (with German assistance) the land taken from Hungary after WWI. It also would have given them no defense against the approaching Soviets, who were not likely to let a little detail like "already surrendered" get in the way of occupying and looting the country. It didn't save Bulgaria, who surrendered to the Soviets and accepted all of the terms, and were then invaded and occupied anyway. Basically, it seems that nobody WANTED to be allied to Germany, other than Mussolini, but few had a choice in the matter. When your choices are occupation by Germany or occupation by the Soviets, you try to pick the less painful option, which unfortunately subjected several countries to the worst abuses of both.
