Question
QUESTION: My Yoshino has sprouts growing from exposed roots a few feet out from the trunk.  I have removed all but one of these sprouts, which I hope will eventually replace the parent.  My question is: will the sprout become a flowering replica of the parent, or is it an inferior throwback?

ANSWER: A Yoshino cherry is propagated by grafting a cutting onto another cherry trunk.  Because lower cherry rootstock can send up sprouts that do not resemble the Yoshino. These will not be like the parent tree.

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QUESTION: Can you hazard a guess as to what kind of cherry the rootstock might be? Is it likely to have any desirable traits like blossoms or fruit? My sprout is off to a great start, and I'm not fussy. I mostly want to maintain hardy shade.

Answer
I am sorry I was wrong Yoshino is a cross not a grafted tree (Prunus x yedoensis) .  The  Kwanzan cherry is the grafted one. Yours should be the same as the original tree. This tree can be rooted from a cutting and the sprout from the roots should be the same tree as the parent. Sorry I got that confused.