Does it matter when you strop, or is it important to strop immediately before you shave? Could you strop after each shave and be good for the next morning?
Lathering your face before you strop, gives the lather some more time to soften your beard. If you're trying to save time by stropping the night before, why don't you go to bed a little earlier and get up a little earlier. Straight shaving is not something to be rushed, but to be savored.
It's not really to save time- I'm just starting out, and it takes me a LONG time to shave with a straight. I'm getting some pretty good results, but the length of time I am taking is really killing the lather, and I'm trying to push as much prep as possible before the lathering up to extend the lather's useful lifespan. My lathering techniques are good enough I can get usable lather out of almost anything, and great lather out of my favorites, but it's dying in the brush with the amount of time I'm taking even to get to the second pass. For a 3 or 4 pass DE shave, no problems at all.
You strop after you make your lather?
Have you thought about stropping before you make the lather? It doesn't have to be immediately before the shave as in 10 seconds before. Just do it within an hour or two of your shave and I'm sure the oxidation bugs will not bite the blade that badly.
No, but it was suggested above. What you suggest I am basically doing already. I was just curious about the physical ramifications of the timing of the stropping relative to the shave.
...the length of time I am taking is really killing the lather, and I'm trying to push as much prep as possible before the lathering up to extend the lather's useful lifespan.
Stropping would be the first part of the process. The blade shouldn't deteriorate into a rusted mess within five minutes .