Public transport is actually a fairly small part of the nation's transport, the UK is very car-centric so the strikes largely inconvenience commuters and drive even more people onto the roads, unless they can WFH.
Strikes are also a very recent phenomenon, just in the last 6 months or so, so this is quite a new thing driven by inflation.
Problems with the NHS are very much poor management by the last run of governments where there is a quite a growing suspicion they are deliberately trying to run down the NHS in order to make a case for to privatise it, following e.g. America's disastrous model.