S/š-Ṭ-Ḥ in Algerian Arabic

On holiday in Algeria, I've been going frequently to some coastal rocks called əṣ-Ṣṭuħ الصطوح, from the plural of ṣṭəħ صطح "flat terrace roof", and occasionally eating šṭiṭħa شطيطحة "stew". I haven't done any dancing (šṭiħ شطيح) - not really my thing. But if I go into the mountains where they speak Kabyle, I might hear someone call something aməšṭuħ (amecṭuḥ) "small"; if they ask me whether I understand, I might reply šiṭṭuħ kan (ciṭuḥ kan) "just a little." Can all these words be connected to one another? I think they might be. Let's start with the easiest one: ṣṭəħ is obviously from Classical Arabic saṭħ سطح "flat roof, surface", a noun corresponding to the verb saṭaħa "spread out and level out". The root has cognates elsewhere in Semitic, notably Aramaic šṭaħ ܫܛܥ "to spread something flat" and Hebrew šāṭaħ שָׁטַח "to spread, stretch", so its Semitic origin is secure. (In the usual weird quasi-biradical way, it also fits into a wider pattern of "spread" words in…