1960s house renovated dry lined but the walls feel cold, we had a 2006 house before this and had the cavity pump Insulation in it, so can a dry lined house have the same beads pumped in?
It's unlikely that the house was built with cavity walls if it's been dry lined. It's more likely hollow block construction if built in 60's.
You'll need to find out the construction method first before finding what the options are.