There is some controversy about this, but I have always oiled my wooden recorders - by which I mean I take them to pieces, cover the finger-holes lightly with scotch tape, and then flood the bore with oil (light almond oil is considered best). Leave to soak for about 5-10 minutes, pour the oil out again (you can keep it for future use) and then wipe thoroughly clean using a rag tied to some stout string (shoelaces for trainers are ideal). Then leave to dry thoroughly for 24 hours. If you feel confident about this, you can "knock the block" (a light tap with a dowel from the opposite end usually dislodges it) and oil the head-joint whilst the block is out. Obviously you have to put it back afterwards (!), but really anyone who has ever done a Fischer-Price toy can do this... it only fits in one way. Oiling is best done once every six months, but once a year is better than nothing. If you really feel unconfident about it and you have an expensive instrument, most makers or repairers will do it for you for a nominal fee.
My feeling is that this greatly improves the instrument's imperviousness to water absorption, and you can play on it for hours without the problem of it becoming "soaked".
I find the opposite problem with plastic recorders - because they soak-up nothing at all, if you find yourself playing a gig in a cold venue (as something like 80% of baroque music concerts are held in gloomy churches?) your breath condenses in the channel and the instrument starts to gurgle
How many times have you had to whip-off the head-joint, muffle it with a duster and huff down it to clear the condensed water? It makes a lovely "tfui!" noise in the middle of Bach cantatas
Having said that, if you are playing in baroque music versus modern string instruments, your lovely Von Huehne or Coolsma
Stanesby copy can tend to disappear entirely - they're just too quiet. For those occasions when I find there are 4 desks each of first and second violins, I keep an old Dolmetsch plastic treble with a bore like a howitzer, to give myself a fighting chance. I bought a weird-looking resin treble last year in St P, made by a Korean company called "Angel" (the model is Angel-AARB-131A) - I needed a second treble in a hurry. It cost just 12 pounds, and it's amazing - it's like a clone of a Moeck Tuju, it speaks perfectly across two-and-a-bit octaves and it's blastingly loud for use with modern orchestras. I've never seen them on sale since.