Too many vague questions. What do you mean by tips... there is so little leverage near the tips that they seldom bend visibly over the last 3" or so. You are unlikely to have seem Mary Rose Bows with their tips bending as they only flexed a few.
Or do you mean recuved tips? Which can either be stiff or flexing.
One needs to be very explicit in your terminology and explanations if you want meaningful answers.
IMO Warbows are generally arc of a circle tillered so each point is bending equally, (with a slight stiffening at grip and extreme tip).
The problem is that optimum designs depends on so many factors and what you are trying to achieve. Are you trying to:-
Shoot an arrow as far as possible.
Make a smooth accurate long lasting bow.
Shoot a heavy arrow at armour.
Make a bow that is easily carried in the brush and is accurate and powerful for short range hunting.
The other problem is that theoretical optimum designs may only suit modern materials so you can't copy a modern Olympic recurve using a stave and expect it to work (yes I've tried !)
There are too many subtle differences to even generalise. I used to think the Mollegabet design with stiff levers was bonkers, so I thought I should build one... pound for pound draw weight wise it is one of my best bows for flight shooting.
Bottom line, try 'em and see!
A good way to experiment is to re-tiller old bows and see if you improve them
Del