Are most people dealing with traumatic stress? No. The words being sought are:

chronic stress
cumulative stress
learned helplessness

Calling everything trauma seems invalidating to people who’ve endured PTSD. The term trauma is generally reserved for experiences where one is fearing for their life in the midst of someone being shot, stabbed, otherwise killed, or perhaps assaulted in some way - or perhaps accidents or natural disasters…you get the idea. And even then, we cannot assume PTSD. Because people are also resilient. 

It is good to keep in mind that traumatic responses assume a certain threshold of (1) danger and (2) stress response that equates a trauma response. 

There are people who have been chronically severely stressed in the absence of a life threatening event or assault. They are physiologically stressed. For example, kids with ASD or Dyslexia may be in schools that don’t understand or meet their needs. These kids have highly perceptive physical systems combined with unmet needs, resulting in cumulative stress, and learned helplessness. Their systems become overly taxed. The ultimate results can include physical and mental illness from the chronic and severe stress. They may even develop panic disorder. And this isn’t small. It just isn’t inherently PTSD. 

I would not automatically assume trauma because someone seemed
highly stressed or chronically panicked. 

Traumatic exposure is an exposure to a life and death circumstance that may result in a kind of unconscious fear conditioning that includes down regulation of other neurological processes. This is an automatic response, not under the person’s control. Even then, even after trauma, the brain can re-acclimate to more predictably physically safe settings over time. But this may take years of graduated exposure to the conditioned stimuli (any sensory input present during the threat) in the absence of the unconditioned stimuli (the threat). And there is always the possibility of recalling the threat and return of the fear response. That being said - again, people are resilient.