Madge makes a disparaging remark about Mrs Cochrane nagging Grizel, as well.
I came across a theory of parenting styles a while back that made a lot of sense. There were two variables - discipline and affection. Discipline could be lax, with kids allowed to do what they want, and no particular consequences for misbehaviour, or it could be strict, with lots of rules and punishments. Affection could be warm, with parents who loved their children and let them know it, or cold, with distant, non-loving parents.
Kids did best overall when the parenting was affectionate but reasonably strict. Kids with loving but lax parents had more of a tendency to have problems because of spoiling, or getting into more serious trouble later because they were having to make decisions they weren't mature enough for (re drinking, sex, etc) without parental help. Cold and lax tended to mean neglect, and cold and strict tended to result in kids who were outwardly well behaved but very unhappy, with a higher chance of rebelling and getting into trouble as they got older.
So Grizel's parents were strict but cold. Ted's mother was lax and cold. The Maranis and Menches were strict but loving, while Lavender's aunt was loving but lax.
The interesting factor for me in Grizel's upbringing is her grandmother - loving but lax, by this definition. We can't make judgements about her mother, as we didn't meet her and don't really get any reports of her mothering abilities, but the grandmother, much as Grizel evidently loves her, was actually quite unhelpful in terms of bringing Grizel up - being spoiled rotten, for whatever reason, over a period of years isn't exactly going to prepare you for adult life. The contrast is then even more marked with the strictness of the second Mrs C (strict but cold).
But Granny gets away with it more or less completely in the books, I would say. And Mr C seems to have no opinions of his own either way, leaving it to the ladies to bring up his one and only - lax but cold?