to be so angry at my DC's primary school for wanting to reduce lunchtime to 45 minutes?

[BroomstickRider]

Currently lunchtime is 1 hour, the school want to reduce it to 45 minutes. I am very annoyed about this, but wonder if I am being a little PFB, over the top and unreasonable? Sorry, this is long.
A bit of background: head left after Christmas suddenly due to illness. One of the first things the acting head did (I will call her Govelet for the sake of anonymity) was keep the children in at breaktimes for 3 consecutive days and have them sit in the hall while she lectured them on there being too much bad behaviour in the school and too many detentions given out etc . This may be influencing my opinion of her.
I don't like the 45 min idea and I think my DS in particular will find it hard because he is a slow eater and an anxious child who finds the constant testing stressful and I think he really needs that amount of time at lunchtime to be able to relax and play. There is no afternoon playtime in KS2. I am already upset that an 8 year old child should be so acutely aware of what NC level he is in every subject and that some days he will go to school nearly in tears worrying about whether he will do well enough in a test to level up. He is a bright child and doing well and there is no pressure from me : I have told him I couldn't care less what level he is.
There was a consultation meeting last night about this and another issue. I raised the importance of play and how I believed most children would benefit from an hour at lunchtime. Govelet told me this wasn't true and that she knows of a child who struggles socially and eats his lunch in 10 minutes and then has 50 minutes to get through in the playground. That particular child happens to be the son of the governor she was sat next to, whispering to now and again in the meeting. (I know from a previous conversation with his wife) Another governor claimed that it is proven that shorter lunchtimes improve afternoon learning but when I asked about the studies it turned out to be just his opinion.
Am I being PFB? I have a DD in school too but am less concerned about the effects on her because she finds school easier at the moment. I want to write a letter with references to studies supporting the value of play and another to the SENCO with reference to the value of play on mental health, but should I just let it go? I sort of feel like they've made their decision and wonder if I'm getting a little out of perspective on how terrible it is? Sorry for the essay!

[Goblinchild]

It's still within the same boundaries as many other schools are operating within, 15 min break am, 45 min lunch and 10 min pm break for KS1.
Let's face it, if the school got RI, they are going to be trying to sort out all the things that aren't working to keep themselves out of failing and SMs.

[BroomstickRider]

BirdieWheelie I'd be happy if they reinstated afternoon playtimes for KS2 but I don't think it's likely because of their desire to increase learning time.