Actually, it was John Major in the 1990s who launched the Back to Basics campaign which (ill-advisedly) harked after stronger family values among other things. Thatcher, for all her many, many sins, kept sensibly quiet about sexual mores and morality for the most part.
It was speculated at the time that Thatcher had a bit of a crush on suave, high Tory Cecil P and that was why he was allowed back into the fold with relative haste.
I'd forgotten how horribly he had behaved towards his youngest daughter. He said, although it's no exoneration, that he put aside several hundred thousand pounds - presumably in a trust fund - to provide for her. It probably would have meant more to have a relationship with her though and I don't see why he didn't as everyone knew about the circumstances of her conception anyway
. There was literally nothing to hide.