Depends. Apparently there was a lot of worry the Germans wouldn't accept their surrender based on what they were told by their officers; within a closed dictatorial system they really had no other source of information about what the Germans would do, so when they got leaflets with passes saying that it would guarantee their safety they used them, but in many situations only those with them would surrender and surrendering Soviet soldiers would tell the Germans that more would like to surrender but were afraid that by not having a pass they would not get the offer of safe conduct. So the Germans altered their leaflets to specifically state one pass was good for unlimited numbers of soldiers. Of course there is likely many soldiers that would have surrendered regardless, but the conditions in the East were relatively unique in their brutality from the very start. Stalin gave orders that no German soldiers were to be taken prison except under specific order, which quickly escalated the tit-for-tat of revenge killings and seemed to have been a calculated strategy by the Stalin to make it harder for Soviet troops to surrender, because if the Germans were pissed about massacres of their own troops they'd be less likely to take prisoners and create a negative feedback loop for surrender attempts. Plus with officers and commissars encouraging the killing/mutilation of enemy soldiers taken prisoner or trying to surrender while they were being told that that is what the Germans would do to them, it creates a very real fear of brutality being suffered if they themselves tried to surrender. Apparently it was enough of a fear that Soviet troops that wanted to give up needed to see that the Germans were willing to accept their surrender and grant them safe conduct, contrary to what they were being told by their leadership, that the passes/propaganda leaflets were noted by the Germans as making a difference during the invasion. I'm trying to find the book where this is talked about so you can take a look for yourself, but having found the section yet.