Yes, No and Maybe
Italia,
For a lot of flight dynamics debates, the tricky bit is asking the right question rather than having the right answers! And I'm not sure that "Stall speed in a climbing turn" is really helping us out here, because it doesn't let us separate out the variables properly.
Once we talk about a climbing-, rather than a level-, turn we open up a world of possibilities. Any amount of g, any amount of lift, and any helical climb angle (just to screw up Mr Deneker's maths).
So, to have a sensible answer, we really need to only change one variable at a time. Are you asking about changing angle of bank at 1 g, or holding a given angle of bank and varying the normal acceleration?
Andy
PS For what it's worth, the Deneker explanation doesn't help much if you're considering a constant angle of bank turn. If the outer wing is traveling faster and at a higher angle of attack, then it would be producing more lift than the inner wing. This would give a rolling moment if you were not balancing this out with some out-turn aileron. This aileron is effectively reducing the angle of attack of the outside wing (excuse the horribly imprecise terminology).
PPS In essence, if your outer wing is travelling faster but you're not rolling, its at a lower angle of attack!