Yes, Vader would likely destroy R2 if he posed a threat or was working for the rebels, just like how he was willing to kill Ahsoka because of her involvement in the rebellion, but I don't think we should ignore Anakin and R2's friendship.
Obi-Wan faced off against Darth Vader four times and physically beat him twice while beating him through his Force development in a third fight. Obi-Wan Kenobi had the high ground that led to Vader's disfigurement and becoming the ultimate Star Wars cyborg.
R2-D2 witnessed some of Anakin's best moments and knew him when he was an innocent boy on Tatooine; it might have been healing for Luke to hear these stories. Perhaps, like the stories about Padmé, they were simply too painful to share.
He didn't recognize him because again, they all look the same & it was decades until he saw him again. There was no reason to believe he or R2 even existed anymore.
Throughout the three years of the Clone Wars, R2-D2 was Anakin's loyal helper and sidekick. In a daring rescue of Supreme Chancellor Palpatine, R2-D2 served as his master's assistant in his Jedi starfighter.
Canon characters, such as Anakin Skywalker, whose relationship with R2-D2 is one of the best in the whole series, Rey, Poe Dameron, Hera Snydulla and Kazuda Xiono are fluent in the droid language. And after spending decades with R2 himself, Luke Skywalker is also able to understand him.
The question being answered is: “Do R2D2 and C3PO know that Darth Vader is Anakin?” C-3PO? Definitely not. As many other have pointed out, C-3PO had his memory wiped at the end of Episode III, so it is almost certain that he does not know.
Infil'a put up a fierce fight against Vader, almost killing him by throwing the already damaged Sith Lord off of a cliff. Despite severe damage to his suit, Vader survived the fall, and repaired himself with parts from Infil'a's droid, Arex.
This isn't a fight, this is a curb-stomp. Kylo would absolutely never decline a fight with Darth Vader, a force of legendary power whose surpassing will certianly gain him a place among the most powerful of the Dark Side, but he is clearly outmatched in power.
Yep. Darth Maul didn't really say or show straight up that he "feared" Darth Vader, but he openly stated his belief that he could not defeat Darth Vader without the help of the Jedi, therefore on his own.
Star Wars Theory: R2-D2 Didn't Know Anakin Skywalker Became Darth Vader. R2-D2 served Queen Amidala and later Anakin Skywalker, accompanied by C-3PO. Unlike the golden protocol droid, R2-D2 never had a full memory wipe, so he was well aware of all events that happened around him.
The base assumption of why Obi-Wan doesn't remember R2-D2 -- in light of the prequels -- is that Obi-Wan is feigning ignorance in A New Hope to downplay the importance of the droid's arrival. That explanation holds the most water for a number of reasons.
secondly, in Legends, R2 was given programming that actually restricted him. from sharing any information with Luke or Leia. about their parents or relation to one another. this was all part of the plan. to conceal this information from the twins.
Further in Empire Strikes Back, neither Yoda nor Darth Vader recognizes either droid. Luke travels with R2-D2 to the Dagobah where they find Yoda. Yoda's relationship with R2-D2 is not on the same level with the same characters. Perhaps, the old creature simply forgot.
During the battle, Anakin, who had been known as the Sith Lord Darth Vader, was redeemed by Luke and brought balance to the Force. However, the redemption cost Anakin his life, having been mortally wounded by the Emperor, Darth Sidious, while killing his former Master.
A smart, spunky droid who would serve a multitude of masters over his lifetime, R2-D2 was never given a full memory wipe nor did he ever receive new programming, with these factors resulting in an adventurous and independent attitude.
He didn't. Vader hit R2-D2, but that was not what he was aiming at. He was trying to shoot the X-Wing itself. In any case, he couldn't have possibly known that that particular X-Wing was carrying his old astromech droid.
