I do favour the idea.
Not sure the one in place is a fair one, I have not read the ins and outs. It may need changes to actually work.
But I was born in a country with it. Live through the equivalent NHS strikes and patients were ok. The pressure was put on the government through newspapers and the mere fact that the health system was on strike. It took two rounds (two days, separate occassions, 24 hours per strike), then the government had to call for GE and lost them.
We had good health care cover all through it.
They were also facing rail strikes. These resulted on more hassle to the population, but the country did not come to a standstill at the stations IYKWIM.
At the threat of general strike, GE happened.
You do need to create a culture for this. When nurses and ambulances were about to strike, Sunak and Steve Barclay refused to talk to the unions. That is beyond crazy to me. Total disrespect to the population of UK, who pays their wages and needs nurses! It needs a culture of trust. Unions will not milk their very important position. The government will listen to unions, meet up and commit to sort the issues.
This would not work with the exiting government LOL the law that they created or were on the go to make may reflect their attitude to the essentisl services and service users.