On the surface (or in isolation from reality) both statements appear to be equally useless for the state goal. However, considering the context, the second statement is clearly more useful.
Let's see what we can extract from the second statement. The ratio of women $w$ among all survived is:
$$w = p x /(p x +(1-p) z) $$
where $p$ - ratio of women among passengers, $x$ and $z$ are probabilities of survival of women and men. The denominator is the total survival rate.
We are testing hypo $H_0:x>z$
Let's re-write the equation to obtain the necessary conditions for $H_0$:
$$(1-w) p x = w (1-p) z$$
$$ x = w (1-p) z/((1-w) p)$$
For $H_0$ to hold we have:
$$ x = w (1-p) z/((1-w) p)>z$$
$$ w (1-p) >(1-w) p $$
$$ 0.9 (1-p) >0.1 p $$
$$ 1-p > p/9 $$
So, for your hypo that women were more likely to survive, all you need is to check that there were less than 90% women among the passengers. This is consistent with your assumption 2, which seems to imply that $p\approx 1/2$. Hence, I declare that statement 2 all but asserts that women were more likely to survive, i.e. it's quite useful for your goal.
The first statement is truly useless in isolation, but has a limited use in the context. If we pretend we know nothing about the event, then saying that $x=0.9$ tells us nothing about $z$, and whether $x>z$?
However, from that little that I know about the event - I haven't seen the movie - it seems unlikely that $x\le z$. Why?
We know from Assumption 2 that $p\approx 1/2$, so the total survival rate is
$p x+(1-p) z$. If we assume that $x\approx z$ and $p\approx 1/2$ we get
$$p x+(1-p) z\approx x=0.9$$
In other words 90% of all passengers survived, which doesn't ring true to me. Would they make a movie and talk about it for 100 years if 90% of passengers survived? So, it must be that $x>>z$ and less than half of passengers made it.
I'd say that both statements support your hypo that women were more likely to survive than men, but Statement 1 does so rather weakly, while Statement 2 in combination with assumptions almost surely establishes your hypo as a fact.