Could a more successful Chinese invasion of the Sikhs have saved the Sikhs?

Basically, if the Chinese not only take Ladakh, but invade Kashmir and Jumma and have success there (perhaps because Beijing orders reinforcements) would they not seriously impair the military capacity of the Dogra dynasty based in this region?

And without the Dogras and the treachery of Gulab Singh, couldn't the Sikhs have survived? It is my understanding that the Maharani did not initially want to have an Anglo-Sikh War, but Gulab Singh encouraged her for his own benefit. And of course, the Dogras betrayed the Sikh army during the war.
 
The idea of a larger Chinese invasion to repel/invade the Sikhs is unlikely in itself, considering that Qing policy at this time was largely 'frontier-based' which meant that officials on the Empire's frontiers were to be in charge of its security (in contrast to a holistic foreign policy conducted from Beijing).

For these officials, their first duty as far as Beijing was concerned was to not 'rock the boat' - to seek as little confrontation as possible, and to handle local problems with local garrisons without relying on Beijing for help - which also meant settling border issues in a way that did not require large-scale invasion. This was especially more so the case with the Sikhs, considering that the Qing were in the midst of the Opium War during this time.

Indeed, the Gurkhas of Nepal had petitioned the Qing through Lhasa to let them conquer Ladakh and convert it to a Nepalese tributary of the Qing, but this was rejected as it was deemed excessive for a tributary to make such proposals.
 
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