I don't think you can relate toxic masculinity to stoicism or suppression of feelings. While there are toxic attitudes that are merely acting out some misunderstood idea of masculinity (Ex: Telling a boy with legitimate issues that he needs to get over it), much of these ideas have merit. Men suppress their feelings so that they can be a strong pillar for their families in times of trouble.
Say a leader in your family, like a father, dies. What good does it do a man to completely break down emotionally and be of no value. In an ideal scenario, a man will step up and become truly useful during this time of trouble. Somebody has to make funeral plans and deal with the logistics of the whole crisis. This is a selfless action that gives others a time to mourn and you will get your time to mourn after everyone else has collected themselves.
Additionally, while deep and dangerous feelings, such as depression, should not be suppressed, many of the things you feel don't need to be shared. Maybe you don't feel like working out, or you feel like going off on an annoying coworker. These feelings do no good for you or the people around you, or are afraid to do the things you know you should be doing, but you still feel them. It would be better to suppress them, face your fears, and do something useful. There are times to share your emotions and there are times to suppress them, and it only takes a little bit of wisdom to tell the difference.
Say a leader in your family, like a father, dies. What good does it do a man to completely break down emotionally and be of no value. In an ideal scenario, a man will step up and become truly useful during this time of trouble. Somebody has to make funeral plans and deal with the logistics of the whole crisis. This is a selfless action that gives others a time to mourn and you will get your time to mourn after everyone else has collected themselves.
Additionally, while deep and dangerous feelings, such as depression, should not be suppressed, many of the things you feel don't need to be shared. Maybe you don't feel like working out, or you feel like going off on an annoying coworker. These feelings do no good for you or the people around you, or are afraid to do the things you know you should be doing, but you still feel them. It would be better to suppress them, face your fears, and do something useful. There are times to share your emotions and there are times to suppress them, and it only takes a little bit of wisdom to tell the difference.