I can relate my own experiences. It really depends on the plant.
Usually, if a new seedling blooms several times, I can discern
the point of stabilization, especially when on rebloom the
blossom continues to bloom with the same characteristics
of the point of stabilization.
Some will continue to bloom in the above sequence, good or bad,
and that is just their overall characteristic. They have a sequence
of differences no matter what.
Some plants will show true flower characteristics on first bloom,
on rebloom, and in the next season. I love blooms that remain static.
Some will bloom fantastic on first bloom then turn into dogs, or
bloom ugly on first bloom and greatly improve later. Or maybe
wait until the next season to do either/or of these things.
If a seedling blooms only one time in the season we wait
until the next season to fully evaluate, especially if the plant has at least some
redeeming characteristics.
With this being said, there are other factors involved, like rain and temperatures.
If it rains before a blossom opens, I can expect a larger bloom. If a large fat bud is one of
a flower that is quite ruffled then the rain can cause water damage to the blossom. Often
this type of bud will be slightly open and the water seeps in. But, most of the time, rain
greatly improves a blossom in every way, at least here.
Some flowers bloom so much nicer in high temps, while others don't change that much
regardless of temperature changes.
And some have what I call "bad hair days", just another characteristic of a particular
seedling. After a time, I know what to expect from each individual plant. I also see
this in registered plants that I have purchased.
I do feel that if I had a greenhouse with more environmental control, perhaps the
differences would not be so obvious.
Hope this helps.