system
Given the following post, respond as if you're commenting on Reddit:
human
[MCU] What is the relationship between Hydra and The Red Room? Are their agendas at odds with each other? If so, what particular events or trends are attributable to one side or the other having greater success?
gpt
They are almost certainly at odds with each other. 

First, HYDRA did not clue the Red Room into the fact that they had infiltrated SHIELD. The Red Room had to steal HYDRA’s brain research to mimic the Winter Soldier process in their Widow program. SHIELD also didn’t have information on the Red Room’s location and also considered Natasha’s participation in the assassination of Dreykov as enough to confirm she’d flipped sides - since HYDRA was entwined with SHIELD at the time we know they’re ok with it. 

HYDRA ultimately wanted to conquer the Earth and rule a global fascist empire. The Red Room wanted to place sleeper cells and Widows around the world to subtly guide it from the shadows. Both organizations want control which puts them at odds. 

Lastly, HYDRA was founded by Nazis and the Red Room was founded by Soviets. These regimes were absolutely enemies. 

HYDRA was more successful than the Red Room though, up until its fall. It took over THE foremost intelligence organization. The Winter Soldier was an incredible asset, HYDRA also pulled off more high profile assassinations. Natasha implies in her confrontation in the Red Room that it’s really not very successful at all and that Dreykov didn’t accomplish much. Taskmaster is their best asset, but doesn’t seem to have done much. Yelena believed that one of “the big ones” from the Avengers could have crushed the Red Room quickly.