Now I understand. "lucubration" was a bad offer made by the DeepL translator and I didn't notice it, what is embarrassing due the meaning is literally the opposite of my intended sense. In fact I used the translator for that part because I didn't know what English word could suit softly. The online dictionary I checked now it's also wrong.

I've replaced the word in the message, "Speculation" is a word that is perhaps better suited to warning the reader that it is a thought without much research.

Ah. Interesting that the translator would choose such an obscure word. lol. I love vocabulary though, so it was an interesting new word for me to run into.