No it doesn't! The same volumes of 0.01M HCl and 1M CH3COOH would surely require different volumes of the same titrant
Exactly. Besides, I don't get the original experiment. All groups have identical samples? All groups should have identical results. They have different samples, but every group had same volumes of both acids? Every group should have two identical results, different then other groups.
Assuming there is identical amount of acid (in terms of equivalents or number of moles, it will be the same in this case) you should use identical amount of base for neutralization of both to the equivalence point.
When it comes to the end point amount of base used will be different, as weak acid will either show buffer effect lowering pH or its salt will hydrolyze raising pH. But that's rather theoretical, as in the case of acetic acid difference in volume of titrant used is below 0.01%, so it is hardly detectable.
Note that equivalence point is when you have stoichiometric amounts of reagents mixed, while end point is where you detect titration end. They are close, but usually not identical.