[_delirium]

The UK has a higher share for public transport than the Netherlands in large part because the Netherlands has a higher share of people who use no mechanized transport at all: 34% of Dutch either bike or walk as their main mode of travel, compared to about half as large a proportion of Britons (16%), according to the source you linked.

Here's the ordering (same countries, same source) if you take transit+walking+biking together:

    Czech Republic 60%
    Spain          46%
    Netherlands    45%
    UK             37%
    Denmark        35%
    Germany        35%
    Finland        35%
    France         32%
    Ireland        30%

The UK still does pretty well, admittedly. I think the reputation for bad trains in the UK is mostly intercity trains, whereas these "main mode of travel" statistics are more about commuting, which is a different set of concerns; the London Underground alone accounts for a very large number of commuters.

(Denmark, by contrast, doesn't look anywhere near as good as its reputation in these kinds of figures. In large part because its reputation is built specifically on Copenhagen, the most visible city by a good margin. Jutland, which has about half of the Danish population, is a sprawling, car-centric collection of towns and suburbs.)