🚀 go-pugleaf

I just have a question about the typical battlecruiser versus carrier
scenario. I realize there are numerous sources online that address
this question, but I find that they are rather general, and deal more
about conventional battle scenarios, rather than the one that I am
curious about.

My friend and I were recently discussing an instance in which a
battlecruiser and a carrier were battling one on one, both fully
upgraded. I am convinced that the battlecruiser would win given its
greater attack speed and health, not to mention its yamato guns.
Interceptors are also easily killed off. But my friend countered that
with the carriers greater speed and attack range, one could control a
carrier to always be effectively out of range of the battlecruiser
while at the same time attacking the battlecruiser sporadically. He
even went so far as to say that a carrier could move out of the range
of a charging yamato gun if one knew, in effect, the distance on the
screen at which the yamato gun's range is at a max (8 or 9 squares if
I remember correctly) since it takes around for seconds for it to
charge.
Notwithstanding the fact that for most people such control would mean
ignoring all other aspects of a game, is my friend correct in his
assumption? I thought that the yamato gun always hits once it begins
charging and that the time it took for a carrier to turn around and
run would not be enough anyway. I also thought that a carrier would
not be able to effectively use hit-and-run tactics against a lone
battlecruiser, since the interceptors have such a long deployment
time, and carrier are only mediocre against other air units anyway.

So I guess the questions I have are as follows:
(1)Could a carrier beat a battlecruiser in a one-on-one battle? And
how?
(2)Could any unit outrun a charging yamato gun? More specifically,
could a carrier? If so, what is the difference between moving the
carrier away, and using an ability, such as recall, to transport the
unit away.