Britain still would have had the Ionian Islands and Cyprus,
The UK didn't get Cyprus until 1878, so certainly not a given with a PoD back in 1798. As for the Ionian Islands, true, I forgot about them, but the Port of Corfu is poor poor substitute for the Grand Harbour of Malta (in both size and position), and the UK's power projection in Mediterranean would suffer considerably as a result.
and most definitely India, if you have India you will get Egypt (or die trying).
I don't think this stands up to historical scrutiny. The UK's game in Egypt was neither desperate or even particularly aggressive by the standards of the time. They were even content to let the French become the primary backers of the Suez Canal, and for a period were willing to pursue joint suzerainty over Egypt with the French.