Isn't the HAZ condition particularly dependent on Alloy and heat input <which is directly linked to process> ?
I think you have been asked a bad question..
Or if it was a good question, you have not repeated it to us in it's complete form and context.
And, not to repeat myself, the HAZ is directly affected by ALL the other factors previously mentioned.
'THE WEAKEST PART' is a very subjective question.
And back to another part, if you have a partial joint penetration butt weld that then gets subjected to some form of torsion and the weld fractures right through the middle for the full length of the weld was it the toe that was the weakest link? I have seen this plenty. Yes, in log equipment and other heavy equipment one must be very careful of the profile especially at the toe and if there is not a smooth transition there it will often be the weak point at which a crack initiates. But not always. You can also gusset too strongly and then the stresses will find another weak point to start a failure. Then, beyong the profile, the HAZ which comes back to proper procedures, process, joint geometry, etc.
Based upon the original post and even the follow up I see no way to give you a one part answer to your question. You have not supplied nearly enough information and as a general question there is no one right answer.
Have a Great Day, Brent