Worthwhile to insulate basement ceiling while remodeling?
Thermal insulation (and a vapor barrier) is applied between the interior and exterior surfaces of the home. Unless you plan on leaving your basement unheated, you wouldn't place thermal insulation between the floors. And leaving it completely unheated is a bad idea since pipes can freeze.

The only reasons to place insulation between floors is for sound or to slow the spread of fire. For fire protection, the places you'd install insulation are where fire could spread up an opening like a chase for running duct work and other utility lines.

What's left is sound protection, and that is best provided by using flooring materials like carpeting above, and then separating the drywall from the joists with something like resilient channel. Insulation in the ceiling cavity will only reduce the high frequency sounds from above. The low frequency sounds, such as loud footsteps, will travel directly through the flooring, the joists, and be rebroadcast by the drywall. Think of sound like electricity, the joists as a short, and carpeting and resilient channel as tools to prevent that short.