Because once you’ve kicked the hornets nest the best idea is to keep kicking it? I’m not convinced that the British would be that stupid as to ensure the ongoing enmity of the US over a conflict that Britain technically started and is shown to be very unpopular already. Especially as the TL has shown Britain struggling without trade from North America and a concern over the US’ war making capacity. All it takes is someone in the government pointing out what happens if the US intentionally starts building up to counter Britain instead of being thrust into it.With British dominance of the high seas by the Royal navy, I do not think that the US will get Hawaii this time.
I could see the royal navy building build major bases in Bermuda and Island in the Caribbean with the long term plan to be able to blockade the USA at any time they want.
So no ships in or out of the US without passing within the control area of the royal navy.
The British will want control of any canal in central America.