Dad is the expert here on painting, but my experience has been that once the
paint cracks on a Corvette, the only way to have a good paint job after is
to remove that old cracked paint.

Fiberglass is flexible, so paint is often cracked even if you can't see it.
Paint also tends to peel off when flexed too much, once the paint gets too
old.

Some say that the two-part epoxy primers will cover and prevent cracks in
the new paint, but at the cost of painting, is it really worth the chance?
Spending an extra day or two to strip is a worthwhile investment IMHO.

I don't like sanding because most sand too far, often scalloping the
surface, so the painted surface is not smooth anymore.  Sanding a metal
panel, unless you are very aggressive, usually stops when you are at bare
metal. But on fiberglass, you just keep going because the fiberglass sands
away rather than stopping you. This is how you create those scalloped
surfaces.

Stripper has its own problems, in that it frequently soaks into the
fiberglass panel or sticks in holes and then resurfaces later under the
paint, causing it to bubble.  The solution is to strip quickly, wash with
lots of water, soap and water, and thoroughly dry out.  Letting it bake in
the hot sun often helps draw anything that soaked into the panel out.  So to
strip today, and paint tomorrow, IMHO, is asking for problems.  Strip today
in small sections, wash frequently, and let it bake in the sun or heat for
several days or more.  Paint a few weeks after stripping.

I'm sure Dad will chime in on this, and let you know if I am all wet, but so
far, I have been lucky doing this.