Welcome! I've been making soap for a year and traditional shaving for about two.
Actually, the KOH used by soapers is in the form of flakes or beads, and around 90% pure. So the 45% solution would not be strong enough. Of course, you could do the math and figure out the actual weight of KOH per mL and use that solution. Just be aware that it's not 1:1 with the values given by a
lye calculator.
The water does seem to evaporate out during the curing process. I've experimented with a few different lye concentrations and it doesn't seem to make a big difference in the end product if you let it cure. However, I am intentionally aiming for a soft soap, because that's the kind that I like, so I don't give my shave soaps a long cure. I have settled on a 30% solution (by combined weight - I use a mix of NaOH and KOH) when I make my shave soaps.
I hope you enjoy soaping as much as I have. I suggest starting with a simple 1- to 3-oil recipe (castille or bastile are a good choice) for your first try. Hard to mess up, and very useful around the house.