On the one hand... everything he has ever known or believed in is false, his family and friends are not only gone but they never existed in the first place, and his every past achievement or future hope is meaningless and gone.
On the other hand... what does it change, really?
"You and Captain Janeway both referred to my time as 'the 18th century.'" Strictly speaking, 1804 is the 19th century, but Laurence lived most of his life so far in the 18th -- or believed he did -- and isn't inclined to quibble. "Were the things that I remember real, in your past? England? Napoleon?"
He doesn't dare to ask about himself personally, nor his family and friends. Surely history wouldn't remember him this far into the future, even if he were anything more than a character in a novel. It doesn't matter, really. At least that's what he tells himself.