I don't think that "always" matters. I can't imagine a situation in which it would change anything. For example:
Bob cries at funerals.
This is in the gnomic aspect without "always." In as much as funerals don't happen habitually for Bob, Bob's crying at them is habitual. If there's a funeral, Bob has a habit of crying at it. Adding "always" doesn't change the aspect.
The same goes for generics:
Twenty-year-olds become twenty-one-year-olds.
You may be thinking that this can't be generic because all 20-year-olds don't turn 21, some die. You may be thinking it's not habitual because 20-year-olds only become 21 once, hardly a habit. But it is generic because it is being applied to a class or group, and it is habitual because it is what 21 year-olds do. "Always" doesn't change that.
Basically, in English, the gnomic aspect is created by the subject, particularly its number, and the verb, particularly its tense. Given a subject with the correct singularity or plurality coordinating with specific verb tenses, things gain the gnomic aspect. Adjectives can't eek sentences into a gnomic aspect.
http://linguistica.sns.it/QLL/QLL95/ALPMB.AspAdvEvents.pdf