To the extent that they have a public life, yes.

Minor children of candidates probably don't have much of a public life - they don't make their own speeches or have a career in acting, for example - and there's really not much to tell beyond what the parents want to make public.

Grown children - Biden's son going to Iraq, or his other ex-lobbyist son - are another story, but it would take a lot for my opinion of a candidate to be swayed by most activities of a candidate's child.

The more attention paid to the candidates' children, the less paid to the candidates. Typical election year distraction and misdirection away from the issues.