Rare or not, get a bidet for home. It's like $25 US for a basic model, and you will never go back. I feel like an absolute savage when I can't use a bidet now. My best argument is this: Imagine if you fell into a pile of manure. Would you just get some dry paper towel and wipe yourself off and call it good?
If your answer is anything other than no, I don't have a rebuttal, but you do you.
In answer to the question, I still wipe the water away sitting down. Standing up doesn't make any sense as you essentially make a shit sandwich with your cheeks... and even though I'm clean down there now - I learned that way and don't plan on changing.