No, not really. If a car is barreling toward my son, and I can only push him out of the way by jumping in front of the car and getting hit myself (but pushing him free of it), I'd do it, and wouldn't consider such a sacrifice silly at all if I witnessed another doing it.
Now think about the reverse: Several people see you watch somebody you know and personally love get hit by a car, and notice you could have saved them and one of them asks you about it. Would you feel bad at all saying "Yeah, I could have jumped out and saved him, but I would have died and that would be silly?"
I could see myself being pressured into feeling bad about not sacrificing myself (societal pressures/norms and all of that), but it really doesn't make sense to me to feel bad, and I sort of hope that I wouldn't. After all, why should I effectively doom myself to save them? Why should I feel bad? Why should I trade my life for theirs?
The answer to these questions seems obvious to many people, but I don't get it. Why is this virtuous? Why is this sensible? Why is this rational?
Now think about the reverse: Several people see you watch somebody you know and personally love get hit by a car, and notice you could have saved them and one of them asks you about it. Would you feel bad at all saying "Yeah, I could have jumped out and saved him, but I would have died and that would be silly?"