I think it all depends on the story. The comic suit above was what Steve Rogers wore after he was 'killed' during Marvel's civil war and passed the Captain America gauntlet to Bucky. He was no longer 'Captain America', he was just Steve Rogers (super soldier). If this movie is more about Steve Rogers and less Captain America, then I could see him donning a suit like this for more 'personal' pursuits...
Provided he goes back to all Captain America later on, of course.
Provided he goes back to all Captain America later on, of course.