If we considered it the other way (that allowing someone to join the military or any difficult job is tantamount to cyber bullying) then imagine all the blame you'd have to spread around should a recruit or veteran kill themselves.
Then think about the possibility that the suicide many have been for reasons no different than they would have encountered, even if they had never joined at all.
Otherwise we'd literally be in a nanny state, and where does that stop? Should we prevent people from joining the police? How about firefighting? How about firefighting for wildfires? Or roofing?
Either way you can blame people until you're blue in the face and it won't help the veterans. The action that would be of help is to treat those who are wounded, and to prevent the politicians' use of the military in unneeded/unjust conflicts in the future.
Plenty of veterans don't kill themselves.