Yes, Social Services can and do check on assets if they suspect fraud, and even not, particularly nowadays when they are so short of cash. It is probable difficult to check if the person concerned has kept all the money in cash in a sock under the mattress but
remember all banks, building societies and other financial organisations are bound by law to declare details of all the people who receive interest payments or dividends to HMRC and I know the DSS check benefit recipients assets against that information because I had a client who had to repay several thousand pounds through an inadvertent failure to declare an asset (she was old and ill).
They will also check whether the care receiver has given assets away, with or without legal arrangements, because if someone does give their assets away and SS can show it was with the intention of not paying for care fees, then the local authority will act as if the care receiver still owns that asset and not pay for social care.
If you give your house away decades before any care needs arise, but still live in it, you have to pay the market rent. I fyou don't, again it will be assumed that you still own the asset and the SS will act accordingly. I had a client in his 90s who had given his house to his children when he was in his 70s and because house prices and desirabilty had shot up, the rent he was paying 20 years later exceeded his pension and he was sitting in a huge valuable house, with nothing to live on (the Revenue check that the rent is being paid)