Nope. Neither image shows what a Crusader looked like. The first is obviously a Roman, as was pointed out already. With the latter one, full plate armor was only common around 1400-1550. By then the Crusades were over, unless you count the final war against the Moors in Spain (1481-1492), and the “Baltic Crusade” led by Germans of the Teutonic Order, against the pagan/Catholic Lithuanians and Orthodox Russians.
For the Crusaders you are probably thinking of (those going to the Middle East in the 11th-13th centuries), the armor usually worn was chain mail, topped by a steel cap with a nose guard. And there definitely has to be a cross on the outfit somewhere!
Oh I agree, I wanted to find an image without a Crusader Cross and did it in haste. As you say the best image might be from the Bayeux Tapestry of the Norman Invasion. Only 30 years between the two timeframes.
Might be a little less dressed for the climate in the Levant.