It's a bit hard without context, so this is my best assumption. Let's say I want to write some "thank you" card. Maybe I'm not the best writer in the world, so I google or ask someone to find good phrases. Luckily i found some good ones. However, I don't feel like to copy them as they are because they are not my own words (or for whatever the reason is). I'd rather change the model a little bit to add my unique taste. In this situation, I'd say そのまま書きたくない。

It sounds closer to the 2nd example to me. Something like "I don't want to write in these circumstances (if something changes, maybe I will write again.)" この事情で書きたくない。事情が変わったら多分また書く。～な感じと思う

This sence can think of Two thing One is it might be hurt other person if you write directly. Other case It mean is ok but I want to use own word express your feeling. One is you care about the person. Other is sentence is got meaning but it might not make other understanding what you want to say by under original the words.