Absolutely, your mileage (heh) may vary!
This is basically going to be a hot button issue for years to come with no definitive answer. For some folks, minimal will probably be the way to go, for others, they need support and that is why the research is probably split as well.
As with all "GOOD" advice on the internet, please take mine with a grain of salt! :)
I didn't think I could run, that is why I never bothered with C25k, but then I ended up running after my nephew as he learned to ride his bike. I was wearing those Merrells and figured out, hey, my knees are not hurting? Next day, still not hurting...?
I bought em for comfiness / more protection than flip flops but ended up finding they helped me to actually run right.
But I do realize this is controversial and would recommend taking it easy no matter what you do!! Even starting C25k despite the number of folks you see on here running... you may have issues that are unique. Whether that is running, biking, lifting, walking or swimming!!
Tis all good and really glad to hear of the success we are seeing!