I suppose it depends on what area of Plumbing and whether you actually enjoy doing it?
Is it general basic Plumbing like, change a tap washer, install an outside tap, replace the odd WC?
Or is it Heating breakdown, new gas fire, fit a bathroom?
It all depends on what the pay is, what type of work and the environment you'll be expected to work in.
I only knew a few Council Plumbers when I was young. They did apprenticeships at the Council and seemed happy enough. I think one or two stuck it out so it can't be horrendous.