I wouldn't be all that bothered about one or two days of fare-strike each month, and I fork out £116/month for my Zone 1-3 Travelcard (possibly more now- I think prices have gone up in the new year). But it very much would depend on how well the fare-strike was announced, and how often the strikes are held.

One day's strike, or even two or three in a month isn't too bad - but if there was a two-week solid fare-strike, that /would/ stir up resentment, even in me. I can't afford to waste the best part of £60, and quite a lot of commuters are in a similar low-wage situation. I have a lot of sympathy, but I don't have a lot of money, and someone else wasting that much of it wouldn't be taken well.

Occasional and short fare-strikes would have to be well planned, well announced, and carefully targeted to win sympathy, win support, and avoid building up too much resentment. Keep the novelty value of it, rather than making travelcard owners feel cheated of their money.

(I'm assuming, here, that they'll open all barriers and just leave them like that, the way some stations do anyway on weekends and during peak hours. Having to jump the barriers would just be irritating - and very difficult for anyone disabled or with limited mobility.)