The recent panels are from Old Man Hawkeye, which means that it’s not “our” Bucky, as in the main timeline (616) Bucky. It’s Earth-807128, so he first appeared in Old Man Logan:
Hence the eyes
It’s a timeline I don’t follow, but here’s the gist of it: villains took over the US, BuckyCap fought Red Skull and lost, and then Red Skull turned him into the Winter Soldier and kept as his secret weapon.
Now we reach Old Man Hawkeye #6:
Bucky was sent to kill Bullseye, and ended up dead himself.
“Listen to me– all of you out there! You were told by this man– your hero– that America is the greatest country in the world! He told you that Americans were the greatest people– that America could be refined like silver, could have the impurities hammered out of it, and shine more brightly! He went on about how precious America was – how you needed to make sure it remained great! And he told you anything was justified to preserve that great treasure, that pearl of great price that is America!
“Well, I say America is nothing! Without its ideals– its commitment to the freedom of all men, America is a piece of trash! A nation is nothing! A flag is a piece of cloth! I fought Adolf Hitler not because America was great, but because it was fragile! I knew that liberty could be snuffed out here as in Nazi Germany! As a people, we were no different than them! When I returned, I saw that you nearly did turn American into nothing! And the only reason you’re not less then nothing– is that it’s still possible for you to bring freedom back to America!”