'To be' is a copula, as such normally stative. "you are silly"
" You have been silly for a couple of days" present perfect continuous.
"I have seen the page you quoted, I suggest you read it again.
No, sorry:
You have been silly for a couple of days: PRESENT PERFECT
You have been
being silly for a couple of days: PRESENT PERFECT CONTINUOUS
Your analysis eliminates the actual present perfect continuous of the verb "to be": "have been being", "has been being". Many people do not like to use it (and it is a bit heavy), but it does exist as its own form and not as a mere auxiliary of the present perfect continuous passive.
As for the French inquirer's question, your answer makes it seem that there is no English equivalent of:
"Je suis ici depuis une semaine"
You make it seem that this statement is, in English, always an ellipsis for:
"Je vis ici depuis une semaine." ("I have been living" OR "I have lived", since French has no regularly conjugated progressive tenses this distinction is not ordinarily made in French, as you know).
Moreover, in saying this, you elimate a distinction which is important in French (être ici, vivre ici, habiter ici) but not so important in English where "live" can be used to cover all of those possibilities, although the distinction can be made (I have been staying here for a week; I have been living here for a week; I have been residing here for a week).
What needs to be said is that, like most non-continuous verbs, "to be" poses difficulties in the use of progressive (continuous) tenses. Thus, "I am here" is the only form in the present tense for that expression. "I am being here" (present continuous) is formed correctly from a grammatical point of view, but it is not used. The "copula" as you say, indicates both static AND dynamic action.
The same is true in the present perfect: "I have been here for...." I have been here since..." are the only forms and they indicate, in themselves, that the action which began in the past continues into the present. "I have been being here for (since)..." is not used, because of the continuous to present nature of "have been" with adverbials of time and place. As shown, the present perfect continuous of "to be" can be used with some adjectives to emphasize the durative (continuous) nature of the state of being. The usage is rare, but it does exist, as you could verify by following the link above to "Continuous Verbs."