this will be a good thread as i am RIGHT in the middle of this now as i have soooo many sites using genesis. So i hope that others will update the thread on what they do and mistakes they make along the way.
i say yes, but in parts,
first genesis are very progressive and to stay in the market they will need to make all their templates responsive otherwise they will just die
the transition from a current non responsive site to responsive may not be as simple as the "upgrade" button.
it must be a HUGE amount of work for them, both in programming and marketing which gets back to the parent theme question. You can have genesis parent responsive but i can't see how that will turn your old child theme into responsive.
they are going to bring out a new responsive version for all their themes, reason.... because most people ( and studiopress prefer ) that you only ever change your child theme and leave genesis alone.
altering genesis is bad bad bad in my books, if i was running just ONE website then i'd say ok, but running many i say you'd be crazy.
my present experiments with the responsive genesis thems have not been impressive ( even though i love studiopress) so i'm not going to jump in quickly.
i will be trialing all this on spare domains not working domains.
don't change whats not broken, let everyone else get the bugs out before you update is my way.
tim