The man on the bridge had to be Steve, Clint wasn't 100% sure, but Steve was probably the first person who would recognised Barnes as Bucky, never mind calling him that. "Your name is James Buchanan Barnes, you used to answer to Bucky, before... Before you were trained." Which was the truth really, before HYDRA got their scaly little tentacles into Barnes he was pretty much one of the good guys, and that was the point on this. Shaking loose what was buried deep.
"The man on the bridge, he knew you before the HYDRA training, before you were put into the program. It's okay to remember that, because that's the base memories, those are the ones under all the flaws." If they could fit more of the memories with Steve in, maybe more of the Bucky memories could take hold, which might assist in bringing Bucky back to himself.
"The confusion is okay, it's a lot to handle at once, we can stop for now and filter away some more later on, you can rest for a while," considering the accidental gripping on Loki it was probably better not to dig any deeper today. "If you want to ask anything," Clint shrugged one shoulder, because he could only really answer so much when it came to what it was James might be remembering, "you can. Whatever it is, it's fine."