I think the show is the equivalent of the Big Fat Gypsy Wedding horror. Same extreme slice of life presented as normal for an entire ethnic group, which is a shame because stereotyping is never helpful.
In the US, which doesn't have much of a safety net besides joining the military when you leave school with no third level education available to you, midle class parents of all ethnicities spend a fortune and pretty much all their time schlepping their children around to various activities and lessons all afternoon every afternoon and on weekends too. I knew a family that was up to their ears in Irish dancing, which is where the Irish and Irish-American tiger 'moms' were to be found in droves. On top of homework, extra academic classes and several hours of dancing practice were the norm for the children.
Many immigrant groups in the US, including Chinese, are very anxious to take advantage of what is offered, educationally-speaking, and push their children. Many also feel it is important to keep their children in touch with their native culture. I knew Polish and Russian families whose children spent their entire Saturday year round at Russian or Polish language class, with homework assigned... Many come from cultures where education has traditionally been valued as the only way out of poverty or obscurity, Russia-Eastern Europe, Ireland, Nigeria, Phillippines and China being obvious examples of ethnicities I came across where parents were not afraid to say "Homework first/ here's a list of Ivy League universities you will be able to choose from when you are 17" to their 6 year olds and to insist that homework and studying were done first thing, consistently and without fail.
There are plenty of Irish parents in Ireland who do this sort of thing too (and probably plenty British born and bred if the producers looked hard enough) -- I think a lot of Irish parents are conscious of the global competition their children face if they either have to emigrate to find work or if they stay in Ireland, so pushing is seen as acceptable either way. In the 90s there was also a consciousness that this was Ireland's moment (as mentioned above in respect of China) and that whoever missed the bus would miss it for good; many parents did not want to see their children and future grandchildren falling through the cracks. I think schools in Ireland and the exam system may be on the way to change, but parent attitudes were formed in the 'olden days' and that will take a while to go away, if it ever does.
I remember being drilled in Irish grammar, learning my times tables and having mental arithmetic competitions in class in my convent primary school in Dublin in the 70s, and learning poetry in both Irish and English until I could recite it in my sleep (frequently did, as we had to recite the previous night's homework in school) in secondary. And lots of Shakespeare, the better to regurgitate it in the essays of the Leaving Cert to back up a point. Maths was taught at breakneck speed and what you couldn't understand you had to work out by yourself at home. Teachers started the year saying, "If you [follow this plan of work and study] you will get an A in the Leaving Cert", and they were right. My parents never pushed, but the teachers definitely did, and I went to a Community School so they weren't even nuns. I always received books usually some sort of encyclopedia/'how things work'/history of the world and classic novel for Christmas (Treasure Island, Black Beauty, The Secret Garden, Tarka the Otter, etc.) and always give books to my DCs.