In practical terms, whether a dispersal of the holidays would work for you as a family would depend entirely on what you use for childcare at the moment.
Without 'standardised' core holidays, no holiday playschemes, children's clubs, activity weeks, sports camps, music courses, activities at the leisure centre, special events in the parks etc etc etc would run - because there would never be an economic number of children available for them.
So unless you have a nanny, childminder or only use relatives for childcare, then a dispersal of the holidays would leave an enormous number of weeks to cover, with nothing to cover them.
Even as a teacher, I use some holiday childcare / courses - they are brilliant for the days / weeks when i have to prepare / clear classrooms, plan for next year etc. My children benefit hugely from county / nationwide courses in their 'things'. They also benefit hegely from term-time extracurricular groups - dance, sport, music - which again would be hugely disrupted by every school being different, or 20% of the children being off for any given week. They compete in events which are planned to take place in school half terms, when school facilities are available for hire and pupils from masses of different schools come together.
I would support an absolutely standardised dispersal of holidays - so a shorter and slightly earlier summer break, 2 weeks for half term in October, maybe 3 weeks at Easter or a 2 week May break if all external exams were moved. I would not support a free for all in which different schools set different holidays, or in which very short breaks were distributed throughout the year in a scattergun fashion.