If Britain could kick France (more or less) out of India, why wouldn't France be able to do the same with Britain?
If the French wanted to make that stick then they'd need to improve their navy, which would probably mean either less funds for their army or higher taxes in France, which would mean... butterflies...
Why the other one wouldn't try to pay better?
During the period when the French still were [reasonably] serious rivals to the French in India they
did out-bid Britain/tHEIC us for some princes' loyalty. Unsurprisingly however, Britain/tHEIC tended to regard princes breaking agreements in that way as legitimate grounds for annexing those princes' principalities when it won (as it usually did, overall), which discouraged other princes with whom they had treaties from selling their support to the French instead without a 100% certainty that it was the French who would win.
The Princely states system was ideal for the British. They got to control everything but barely had any rebellion or protest in such areas.
There was a province called Berar that nomnally belonged to Hyderabad (the large state of that name in the Deccan, not the smaller one up north near the Indus) but whose administration the HEIC had taken control of (under a treaty) on the grounds that they would use its revenues to pay for the troops whom they were now committed to supplying for Hyderabad's defense if necessary. When the British eventually suggested returning it to the Nizam of Hyderabad's own control, two or three generations later on, some of the locals rioted against
that possibility.
They are not going to trigger a new war in 1754/56 in order to conquer french colonies in India and America.
Britain didn't trigger that war anyway, the bloody colonials did....

And if that war
did still happen ITTL then at least Britain would have entered it in possession of the important fort of Louisbourg (on what's now known as Cape Breton Island) near the mouth of the St Lawrence, instead of having to seize that place again before advancing by water against Quebec... because if France had held on to
its gains from the previous war then obviously Britain would have done the same.