I think the positive thing about 'mental health awareness' is that it gets people talking and it has removed some of the stigma from some mental illnesses and erased some of the taboo from talking about them.
Yet, some mental illnesses are still stigmatised, and perhaps schizophrenia is the most obvious example. My husband has schizophrenia, and is in a care home. I never even knew it could develop later in life. Other mental illnesses can be minimised because they exist on a spectrum. Here, perhaps depression and anxiety are the most pertinent examples.
Furthermore, the long term and significant effects that chronic and serious mental ill health has on the individual and on families and carers are also not really discussed in awareness raising sessions.
Mental illnesses in your youth can seriously affect your life chances. I had a serious eating disorder in my youth. The illness and hospitalisation fragmented my education, delayed my capacity to work/earn and I have been playing catch-up ever since. Both my sons have serious mental health issues. My eldest had to go into residential accommodation at the age of 18 because his needs could not be met in the community. He is neurodivergent, but it was the extreme anxiety and psychosis that made him a danger to himself. My youngest has been cursed with a chronic anxiety disorder, and an eating disorder. He finds it difficult to leave the house. Services for mental health are so stretched in our area that he gets a fraction of the help that he needs.
Another thing that awareness training may not mention is that the average life expectancy for people with serious mental illness is 10 to 20 years lower than the national average. I know statistics do not mean everyone with an SMI will die early, but the care individuals with SMI receive is not always all it should be:
Why People With Mental Health Conditions Die 10–20 Years Earlier - Mind Help
The government drive to get people back to work, and off sickness or disability related benefits, has also, in my opinion, led to a tendency for mental illness to be almost trivialised.
So, in my opinion, mental health awareness training should continue to show mental illness as something that can and probably will affect every one of us. It should focus on mental wellbeing. However, I agree with the OP, there should be a broader and deeper focus that more truly reflects the experience of individuals and families affected by serious and chronic mental illness.