/snip
If you hide the dice from your players, and you change the results from time to time, how are they ever supposed to trust the roll results you tell them? They have no way of knowing if you’re telling them the real results or making it up.
/snip
Swimming upthread a bit, sorry, but, teasing this out.
They trust me because I take the time to build up that trust by providing an enjoyable game. If they are enjoying the game, then the fact that I fudge (or, to be 100% truthful as I have been all the way along and, by the definitions of this thread, I DON'T) is part of that enjoyment.
Again, this is people making a far bigger deal about things than it needs to be. There are a thousand ways I, as DM, can influence the game. This is just another tool. Is it a tool I use personally? No. I don't. Have I done it in face to face games? Yup. I certainly have. Would I do it again in a face to face game? In 5e, likely not since the game is already pretty forgiving and it's unlikely to be needed in my games. But, again, since we're specifically talking about changing die rolls, and nothing else, I'd say that no, I don't do it.
But, my whole issue is that if you have this huge reaction to someone shifting a die roll, why not everything else? Why are dice suddenly given such a prime position that any rolled die MUST NEVER BE ALTERED, when the DM can simply alter one of a thousand other things and get the same result?
It's tempest in a teacup.