My guess is that we are letting the words get in the way here and that you and I are in agreement on this matter actually.
Since I am, and always have been, a vocal opponent of the death penalty, you are probably right about this.

But I have observed all too much, in my 60 years, of non-Catholic Christians who ignore the fact that there were many, many Catholics killed by Protestants, whilst at the same time, reciting a list of Protestants executed by Catholics as “proof” of whatever evil they want to push onto Catholics at that moment. (Have you ever read Foxe?? I own a copy, pressed on me by an eager Baptist, trying to convince me to join his anti-Catholicism…

If he only knew…)
I do stand by my statements however, that I do not believe that burning, as opposed to other available forms of execution was chosen from any motive of cruelty. On the contrary, it was a relatively rapid means of death in comparison to other methods. And the belief at the time was, that it was not considered to be particularly painful. (I do know that this is counter-intuitive, but then, the Middle Ages didn’t know a lot of things that we consider fairly basic…).
Perhaps the unfairest accusation of all (and I am
not saying that
you are someone who is doing this), is to claim that “the Catholic Church killed [X number of] people for believing heresy”. It was the various governments that were doing the killing. It was not the Catholic Church. One might argue that Calvinists killed people for religious reasons, since they had a veritable theocracy in Geneva…but I don’t intend to go there, either.
In spite of the notions of some here, I am not “defend[ing] the practice on here”, either. I am simply attempting to put the whole question into some form of perspective.
These were the Middle Ages; it is not the 21st C. we are on about.
I know this is not a popular stance. I didn’t expect it to be. I insist, however, that when we look at this subject, that we look at it, as compared to what else was happening in the societies of which these events were a part.
As far as I can see,

there are few enough posters here, willing to turn a clean eye on this part of the story. Some even seem to be overlooking the fact that, if we were all to be suddenly transported back in time, that I happen to be one of those who would almost certainly end up being

executed myself!! While not a pleasant thought, it does tend to give me a

rather interesting perspective…
And then, too, I remember that my own beloved Teresa of Avila wrote that, if she believed that anything that she had written or said were heretical, she would “take myself to the [Spanish] Inquisition, and turn myself in”. She was a woman of strong principles. I can scarcely desert the field, if only for that one reason alone…