Not a fifth lens, but the point the whole engine exists to make: historians describe the same country differently because they weigh its causes differently.
The origin of Pakistan itself is the sharpest dispute. The consensus reading treats Partition as the fulfilment of a long-building demand for sovereign Muslim statehood, argued for consistently under the banner of the Two-Nation Theory. The revisionist reading, following Ayesha Jalal, treats the very same events as the outcome of a failed negotiation — a bargaining position that hardened into a country only after a federal compromise collapsed in 1946. The facts of 1947 are not in dispute; whether Pakistan was always the goal, or the fallback after a larger settlement fell through, is.
The break-up of the country in 1971 divides the lenses in a different way. The consensus and cultural readings treat the loss of the eastern wing as proof that a religiously defined nationhood could not, on its own, override deep differences of language and political grievance between Bengal and the western provinces. The economic-geographic reading treats the same rupture as the predictable result of two wings that never shared a common river system, farming economy, or trading base, joined only by faith and separated by everything material. Same rupture, different root: an identity that failed to bind, or a material connection that was never really there.
On one point all four perspectives agree: Pakistan is a state whose religiously defined founding identity has never been matched by a single, settled sense of nationhood across its regions. They part only on why — a strain of holding diverse regions together under one religious banner, a contingent and improvised founding, an unresolved argument over what kind of Islamic state the country should be, or a hard geographic fact that its regions were never bound by a shared resource base to begin with.
Reference status: every work cited is verified and correctly attributed — Ian Talbot, Pakistan: A New History (2012); Stanley Wolpert, Jinnah of Pakistan (1984); Ayesha Jalal, The Sole Spokesman (1985); Yasmin Khan, The Great Partition (2007); David Gilmartin, Empire and Islam (1988); Farzana Shaikh, Making Sense of Pakistan (2009); Anatol Lieven, Pakistan: A Hard Country (2011); S. Akbar Zaidi, Issues in Pakistan’s Economy (2015); Majed Akhter, “The Hydropolitical Cold War” (2015). Jalal’s bargaining-counter reading of the Pakistan demand and Gilmartin’s colonial-administrative account of Punjabi political Islam are both influential but actively contested interpretations, presented here as such rather than as settled fact.