It's not an easy thing to come to terms with as a parent, but the OP has to just accept that there's no point buying tickets for kids that don't want to go.
If they later decide they do, then you will have to work out how best to achieve this, but there's really no point in complaining about it if they have attended less than half the games so far this season.
As for the clubs records, I'm sure the exact time I went through the turnstiles is logged on my season ticket details. It really wouldn't be difficult for them to see if it's only used when upgraded and necessary action could be taken against those who are clearly abusing the system.
If they later decide they do, then you will have to work out how best to achieve this, but there's really no point in complaining about it if they have attended less than half the games so far this season.
As for the clubs records, I'm sure the exact time I went through the turnstiles is logged on my season ticket details. It really wouldn't be difficult for them to see if it's only used when upgraded and necessary action could be taken against those who are clearly abusing the system.