I thought teachers spent much of the summer break maintaining certifications and incorporating new school regulations into their lesson plans for the next year. I don’t think it’s a 3 month break for them
To add another data point, every teacher I know uses at least a third of their "break" for lesson planning. Usually more.
Most teachers work hard over the summer, it isn't a break. Pay isn't great.
And a certain mainstream political group puts significant effort into demonizing the profession and destroying the pay/benefits packages... which matters, because in public schools, the politicians hold the purse strings.