No doubt the weak British Pound vs. the U.S.$ since 2016 has softened the blow of rising Visitor green fees for Americans playing golf in the U.K. Here is a graph & table showing the exchange rate over the past 30-40 years:
https://www.macrotrends.net/2549/pound-dollar-exchange-rate-historical-chart
The exchange rate for 2004 thru 2008 averaged $1.86 per Pound. From 2016 thru 2019, it averaged $1.31 per Pound.
A 100 Pound green in 2006 was roughly $186. Today a 200 Pound green is $246, not that big an increase (32%) over a 14-15 year period.
David is thinking in the right direction here, but as an economist, I will go further. The weak Pound has not softened the blow, in fact it is the major and direct cause of increased green fees denominated in Pounds.
Golf green fees are tradable goods. There is a world market for golf green fees and demand from all over the world for UK green fees. In fact, green fees are more tradable today that in 2000 due Internet and cheaper travel (this adds to the increase).
Tradable goods have their prices reflected at the international price, normally expressed in US Dollars, time the exchange rate, minus any import taxes or other costs to trade, not applicable in this case.
Exchange rate in 2000 $1.65 per Pound, today $1.25 per Pound. Average prices expressed in US Dollars therefore are $145 for 2000 and $301 for 2020. However, there has been 53.3 % inflation in US Dollars since 2000.
Adjusted for inflation, the 2000 average price is $223 compared to $301 today. This is just a 35% increase in 21 years.
I argue the average club on the list has improved its course, its club house and its customer service to warrant an increase in the prices (supply shift), plus travel costs and fulfillment costs via Internet have decreased significantly so as to increase demand (demand shift) explaining the 35% real increase in Dollar terms.
Also, given personal experience, I dont see any decrease for 2021/2022 unless the Pound gets significantly stronger.