Flame cutting the topstrap is a self limiting problem
Sure, it looks nasty, but once the metal is "cut" away, it stops, because the flame from the powder blast no longer has the energy to erode the steel, due to the increased distance.
Now, the question is, does the reduction of metal in the eroded area significantly weaken the frame?
I don't know. All the guns I have seen cut have had a shallow groove, only a very small percentage of the metal in that area. I'm sure this does weaken the frame, from an empirical standpoint, but does it weaken the frame from a practical standpoint? I don't know.
With one of the alloy frame guns, is this a more serious issue? Again, I don't know. But what I do know is...
That there is no free lunch. Lightweight guns wear out, faster than bigger heavier ones. What you are giving up for the ease of carry is longevity. Now, I think you will still be buying the gun several times over in ammo costs, before it reaches the end of its safe service life, so ask yourself, for what you pay, how long should it last?
And be prepared to accept an answer you don't like.