MIG wrote:
Is there any means of claiming back the cost of calls in any case,
when this is the only way of resolving problems caused by TfL and
Oyster?

Does 020 72277886 work? (from saynoto0870.com)

Why is there not a free number, given the punitive extractions of
money faced by TfL "customers" and the limited means of redress?

Probably because the 0845 issue is poorly understood in most circles?

If it still bothers you, write TfL, and then your London Assembly person
if they don't provide an adequate response.
--
Michael Hoffman