The first generation of "Arabs" used whole sign houses, so their "cusps" were the "sensitive point" of each house; so too with the earlier Greco-Romans (predominant use of whole sign house format), who originated almost all of the Lots (that is, the formulae for the Lots**) which were later taken over during the Islamic transitional era ("Arabic Parts"); by the later 9th century, the "Arabs" switched completely to use of the Alchabitius quadrant house system, which continued through the time of Bonatti-so the Alchabitius house cusps were used during this period of time, through the rise of Campanus and Regiomontanus during Renaissance times in Europe.
In India (jyotish/Vedic astrology) Lots are very rarely used (and never have been-which is a very a big difference between ancient Vedic and Hellenist astrology)
Equal house format dominates Vedic astrology (cusps as divisions of houses beginning from the ascending degree)-in the earliest Vedic period, whole sign house format dominated (as it did with the Greco-Romans) By around the 11th/12th century, Sripati introduced the ancient Western porphyry quadrant house system into Vedic astrology: following Equal house, Sripati's quadrant house system (porphyry house format) is widely applied among Vedic practitioners (the minority Jaimini astrologers continue to use the ancient whole sigh house format in their branch of Vedic astrology) The revisionist (Modernist leaning) KP movement within jyotish, use placidus house format (as Anoop mentioned in an earlier post) However, as I mentioned earlier, Vedic astrology has never made much application of Lots (there has been some application of the Part of Fortune, ie, the Lot of the Moon, in Vedic but that's about the only Lot I am aware of, from the Vedic literature)
(*see for example Greenbaum, "Late Classical Astrology")