I have discussed this with mother - fuchsias can't climb, they don't have tendrils or clingy bits.
What Lady Boothby (first seen in the 1930s - if it's so good, why has it taken 80 years to become popular?) seems to do is just grow extra tall and lanky, so you can then tie in the growth. Not really climbing as such, it just has extra-long shoots. It needs supporting against a trellis or somesuch.

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