Responses
Doesn't sound very likely to me, otherwise she wouldn't have been so unhappy when he dated her afterwards. And the lies she told about her showed how displeased she was.
I think she just looked for the type of girl that a mother would like (and she even told his son that she would have preferred him marrying a cousin, but that it would create a scandal -chapter 2, page 16).

don't you think haru (the lil sister) is almost like tougo's type?
just a theory tho, maybe the cousin told tougo' mother about his preference
She was trying to be considerate to his choice of women, that's why she didn't even glance at natsumi
Σ(っ°Д °;)っ