Presumably the drivers reckon that the new shifts required by the proposed timetable changes "would be deemed unreasonable to a normal person", as you say yourself. Why assume tube drivers aren't "normal people"?
Actually the main travel problems in London this weekend are not caused by the strike but by LT's simultaneous decision to close down the Northern Line (Bank Branch), the Circle, District, Hammersmith & City and Met lines for engineering works.
...and today major delays on the London Bridge-Charing Cross line, and on Thameslink , and the usual roadworks with buses diverted.
Frankly, unless you live in somewhere like Wealdstone, and the Bakerloo line is your only contact with civilisation, I think there are other transport problems to worry about. If you live in central London, the walking will do you good.