Of course the difficulty in exploring this subject is that we have no way of knowing how many budding artists have been "killed off" due to a lack of family support for their preferred artistic vocation. Of course, if the were so dependent upon family support as to CHANGE their career goals at some early stage in their lives, perhaps they would never have been great artists anyway. Frankly I have my doubts regarding the importance of the so-called "family support" factor anyway. I've seen a number of individuals with, no small amount of natural talent, coupled with a great deal of supporting encouragement from friends and loved-ones, fizzle out like wet skyrockets.
On a personal note, I've never placed much value on anything my family ever said about my work (it was always, without exception, positive) simply because of what I'd call the "love factor". Regardless of what they truly felt, they would, out of love, never have given me anyhing other than positive feedback. The "real" encouragement as far as I'm concerned, has always come from strangers, people I don't know and whom don't know me. THAT is HONEST encouragement. By the same token, I've learned more from those who make negative comments about my work (when they didn't know I was listening) than I ever had from admiring viewers. I love to masquerade as a visitor to my own exhibit and listen in on comments!