Some 'game theory', by way of metaphor... I spent a lot of time playing Scrabble where winning would not strictly be the aim, goal and objective. Being 'in the zone' and able to repeatedly put down all seven letters and hit the triple word scores would be where I wanted to be. Sometimes I played against those that might rummage in the letters bag, perhaps to take an extra tile out and have to 'correct' their mistake…
Honesty is the best policy small lies are always counter productive and increase expectations to an unreasonable level sometimes making you putting a lot of effort into meeting it.
There's very few situations where lying is a good idea however 100% complete honesty is probably not a good idea either there's some things in business you just can't reveal however outright refusing to answer the question is probably a good solution.