I think there's two aspects to look at:
Firstly, the material itself. Ti isn't magic, just good. If you look at stiffness for a given mass (mass specific modulus), steel, Ti and aluminium are pretty close. (25+/-0.5, 25+/-2, 26) So for a given stiffness, shape and size the frame weight should be very similar. Different alloys of each material do not vary the stiffness.
Secondly, the form of the frames needs to be taken into account:
:A tube's stiffness will increase in direct proportion to wall thickness: 20% thicker walls, 20% stiffer, 20% heavier.
:A tube's stiffness will decrease in proportion to the square of its length: shorten a tube by 20%, stiffness will increase by 44%, 20% lighter.
:A tube's stiffness will increase in proportion to the cube of its diameter: Increase the diameter by 20%, stiffness will increase by 73%. 20% heavier.
So make the tubes 20% fatter, with 73% thinner walls and still have the same stiffness :shock: But make the tubes too fat and thin walled and they will buckle (Euler limit)

It's not as simple as which material...
The differences between materials are predominantly in the fatigue strength and yield strength (permanent bending) characteristics, where Ti and steel win over alu due to their fatigue limit, whereas alu continues fatiguing until failure. Here different alloys plays a huge part in the lifespan and strength of the frame. Commonly used steels can vary in tensile strength by 300% (Reynolds 501=771, 953=2000+), yield strength by 200%. Ti alloys do not vary quite as much in their properties, 3/2.5 and 6/4 are within 10% of each other in these properties.
So, if your two frames are the same shape, tube diameter and weight, they'll be roughly the same stiffness, whether they are made of any alloy of steel, ti or aluminium. How long they last and how tough they are is a different matter.
The differences in the material properties themselves are far less significant than the differences produced by tube profile and spec.
All the best,