Wow.
I am reading the OP's posts and marvelling, gratefully and my own parents who would not, for one moment, even consider leaving (Asian country) of their own, to come and live in the UK, illegally, with their only child. They have saved, put aside money, built networks, friends, family, contacts and resources and planned ahead for their ailment and demise there, in their homeland, where they draw pensions and are surrounded by known systems and faces.
I cannot for a moment imagine either of them claiming they want to die with me in the house, and thus they'd give up their lifelong country and abode to live in cold, gray UK, illegally - and all that to die with their daughter around them.
I have newfound respect for them now! Now i understand why their line has always been - "You be well, where you are, with our lovely DGC, and visit, as you do, with them, once each year, and we will visit once each year, as long as we can - but you must never, once put yourself or DGC in the sightest trouble coming to see us - and here are the 12345 things we are putting in place for our elderly care". They visit and are distinctly uncomfortable in UK temperatures, for anything more than 2 weeks, frustrated at not being able to drive in the UK, not having familiar networks and faces and are at their best element when we visit them in home country.
This thread has opened my eyes to how differently other people think - and I have such appreciation for my parents now.