I can’t see the picture of the painting and its artist. But the purpose of equestrian portraits in history is that they demonstrate elements kept on horsebacks.
Can’t help without hearing the music examples or see the written examples!
First off, this isn't really a yes or no question, this is an opinion.
My opinion is that photos that have been altered in any way should be marked. These days you never know what a person will do to say, get a job, advance a political agenda, or ruin the reputation of another person. The public has the right to the truth. Therefore, altered pictures should be marked or labeled in a way that differentiates them from others.