Or what?

Yes, this is true. Kittens and "teenage" kittens are very playful. Isn't
that what you like about them?  ;)  I have 3 cats. The oldest I gave a
home when he was 3 years old. (he was put out). He's never been a playful
cat in the time I've known him (he's ~11 years old now). The second is a
~3 year old but he doesn't seem to be calming down any time soon, and was
about a year old when he came to live with me. Very affection lap cat
when he wants to be, though. The youngest is just over a year old and was
formerly a feral. She is the one I think will be the most affectionate of
all.  It took months for me to be able to touch her let alone have her
sit on my lap. But she's a wild hellion when she isn't looking for
affection.

That said, if you wanted an affectionate cat right from the start you
maybe should have looked for an adult cat.  :)  Shelters, animal rescue
groups, fosterers, etc can tell you a bit about their personality before
you adopt them.

Yes, you should wait.  :)

She may well turn out to be a forever-feisty cat (I had one!), but OTOH, she
will also mellow bit by bit as she ages.

Another one of my cats - although very affectionate & not what I would call
feisty really, was hell on paws when younger (knocked everything over for
the sheer fun of it); she didn't slow down & act like she was out of
kittenhood till she was 4 - 5 years old!  However, at 12 she's now very much
a lap cat.  They're all different...

Cathy

--
"Staccato signals of constant information..."
("The Boy in the Bubble")  Paul Simon

Heard good things about Feliway. Perhaps you could try this?