Many years ago, I did some work in a public sector computer department. To describe it as hard work wouldn't exactly be accurate. I had about half a day of work each day.
Now, the thing was about back then that it was hardly something to be resented, because quite honestly, the pay really did suck back then. People got paid pretty badly in that department. The upside was things like a low risk of job losses and yes, a decent pension. It's probably fair to say that Blair, in his early years restored the balance between public and private sector.
But the public sector are living on a different planet now. I watched someone on the news complaining that they had a pay freeze for the past 2 years. I know people in the private sector who haven't had a pay rise in 5 years.
The ultimate measure of your value is whether you can quit and get something better. And I suspect that most of the people striking can't. So you'd better take it. The private sector won't support you and the more you strike, the more likely the public will find a Thatcher type who'll really ruin the party.