I think the influence of American IPA is quite limited and only adding to the selection rather than altering how others do anything ("influence"). That said, Duvel has a triple hop beer which tastes awful, so maybe I'm wrong and the hop fetishism is contagious.
That said, the IPA style was originally British; it's called an "India" pale ale because they added a ton of extra hops to preserve the beer well enough to make the trip to India. It then got brought to the US, who picked a metric (IBU) and optimized it beyond repair, and the American take on IPA has certainly made it back to the UK (e.g., a good half of Brewdog's repertoire)
https://gipsyhillbrew.com/beers/wader/
This is virtually inescapable now:
https://shop.beavertownbrewery.co.uk/collections/beer/produc...
Pretty much every UK craft brewery has at least one NEIPA these days. Many have an APA, and a few still make West Coast IPAs, eg:
https://pressuredropbrewing.co.uk/products/rocks-rivers-tree...
Those are just from London breweries! American-style beers are so big in the UK now that CAMRA, the national beer association (think the NRA but for beer?) have had to change their definition of what real beer is, after many years of fighting against the invaders.