I am guessing probably not the same

the need to give zucchini away seems to be post great depression wasters guilt.

you have a mountain on zucchini in late June early July and you don't want to see it go to waste but your also so sick of it at every meal and it is to hot to want to can any more.

my kids get sick of it.

you need to keep those plants a good distance from any other squash or they will cross and you won't have the same thing.
they need bees or similar to pollinate they can bring in cross from a considerable distance.

you can hand pollinate and tape the blossom shut as well.

the fruit need to grow to maturity and be stored a few months in the fruit to make the seeds more viable the book I have suggests 3-6 months stored then break open and collect seeds , wash scrubbing in a colander till the flesh of the fruit is off the seeds and dry . cool dark storage

Doesn't matter what pollen cross-pollinates the squash during the current growing season. Won't have any effect on the fruit itself. Just the seed for next year's crop.

Squash is notorious for cross-pollination so if saving seed strict isolation either distance or physical to preserve pure seed.

But, what we call squash, pumpkin, cushaw are five closely related species most which cannot cross and some which can.

For instance it's generally considered safe growing pepo summer squash near moschata winter squash but not cushaw.

I’m surprised that it can be either summer or winter types that’s something I never heard of that.

You had better keep those plants away from other squash plants. Seeing how easily various kinds of squash cross-pollinate, I would be concerned that after a few generations they would be nothing like the original squash that came from the 800 year old seeds. I think cross-pollinate is the correct term??