I've given up on alcohol stoves in general. I am a complete convert to a gasifer stove, using almost exclusively my solo stove. With a handful of sticks, I can boil water. No worries about fuel. The only other stove I possess is a Svea 123R, which is used canoe tripping and car camping. It is heavy, but idiot proof.
I have used my solo stove in all kinds of weather, and never had an issue with wet sticks. I use a fire stick (coughlins) to start it, then add small twigs, followed by larger twigs, feathered if they are wet. Once it gets going though, it will burn wet sticks without issues. I've even used wet pinecones. Come to think of it, I may go out this week and demo using it, as its supposed to pour. I have no idea what the boil time is, other than its a handful of sticks. I really enjoy using fire to boil with-its a bit more primitive, it feels.
I guess I have a project now, and will video my use in the rain this week!