Her "obsession" with Mametchi is just proof she loves him so much. But people who have not found their soulmates yet don't understand love.
And Lovelitchi, since when does she like Mametchi at all? Makiko x Mametchi is 10 times more canon than Lovelitchi x Mametchi lol.
When Mametchi had to leave Tamagotchi Town, Lovelitchi didn't care at all.
Did you see how much Himespetchi was crying when she had to leave Dream Town?
If Lovelitchi and Mametchi liked eachother, Bandai would say. But they don't; they say Himespetchi wants to marry Mametchi and that's that.
I think fake ships are very offensive to the characters.