Smithy if someone is really only getting a small private pension (PP) which takes them above the Pension Guarantee level for Pension Credit they have been able to receive Pension Savings Credit (PSC). You would have to have a PP large enough to take you above that level to receive nothing so not the poorest, or the second poorest but the third poorest group
. However, they are fazing out the PSC. They have frozen it and each time you receive £2.50 rise in pension for example, those on PSC will only increase their income by 80p-£1 as this disappears.
To get Council Tax benefit you do not have to be on Pension Credit(PC). If your income is low but over this amount you will get a proportion of your council tax reduced by benefit. Equally, if your income does not give you PC but is just above this you may be able to pay a reduced amount for glasses, dentistry, etc. All this adds to the admin costs that could be saved if everyone was on a 'living pension'
I did see a Telegraph article that said pensioners needed £17,000 to live reasonably but I think the minimum standard income or basic income for pensioners has been calculated elsewhere to be about £11,500. As this is the case then surely one answer would be (following the lines of a citizens income) to pay all pensioners £11,500 (not heating allowance, Christmas bonus, etc.) and take away the basic tax allowance for those on state pension.