That is a good idea ! I didn't keep up any NI payments, consequently my state pension is smaller. Another "I wish I hadn't done that" is the married woman's contribution which I paid for years. I guess I wasn't as savvy back then !
I'm not that savvy now nor was I then, just had someone advise me from an early age.
A neighbour of my Father shone a light to me many years back. Her husband died after a very short illness, no insurance, no pension, no nothing. She came to my Father to help her fill the forms out.........he was a lorry driver, the only forms he had filled out were one to join the army & one for his driving licence :-) He got me involved (I was lost), I put my accountant on it, truly an eye opener what the poor woman had to go through.............
Call me selfish but my financial contributions to the UK are for ALL Brits. We had four kids, some people had none...........they contributed to us with the old child benefit or whatever its called. Swings & roundabouts.