I think these things have to be put into perspective.
State pension is about £9627.80 pa, you could expect to get circa an extra £2000pa in rate relief, pension credit etc. Bringing income up to £11,627.80 (circa £970.00 per month), with a part time job 16hrs on minimum wage = an extra £152pw = £7904.00
Total income = £19,531.80
After tax and NI = £18,139 (£1511.60pm)
If you found you were too unwell to work 16hrs, you could claim attendance allowance so income would be
State pension: £9627.80
Rate relief/pension credit: £5625.36
Attendance allowance (low): £3216.20
Totalling: £18,469.36
After tax and NI: £17,933.20 (£1494.43pm)
note above calculations using Turn2us benefits calculator and money saving expert tax calculator based on someone 66-74, who owns their own home. If you are renting or have a mortgage potential income could be more please do the calculations for your own particular circumstances.
A relative of mine on a really good civil service pension; had about £2000 a month, state pension payment on top of this minimal reduced due to the main pension, attendance allowance paid in the last five years of life. So all in all they had about £2,600 a month.
They went into a home and over a few years the costs blasted through the AA, civil service and state pensions entirely. A significant contribution was taken from their savings monthly to pay the bills (fees £3,500 - £4,000), and to allow them to have a hair cut, buy clothes etc . Almost all of the savings from having a good job/pension were wiped, and they got to the point of having to consider selling their house just to be able to survive.
By contrast another relative had only a small pension + state pension, again AA in the last few years of life, signed their home over to kids (maintaining right of residence) and kept savings well under £16k. Received entirely free care for a similar amount of time. Wasn’t strapped for cash every month and had enough to easily pay funeral.
So in short don’t panic. Yes person A was able to have extravagant holidays for 5-10yrs, but then they got too old to manage that and spent the rest of their retirement worrying about the state taking all of their money and losing the option to leave their house to relatives as they wished.
Also re. getting your kids through uni - depending on your income they will be entitled to loans etc. They are not automatically entitled to have you pay fees and their accommodation. Look into the finance and support for them available and introduce them to the idea of part time work and a summer job!