Yes, it's a simplification, as is the case with the post I was replying to. To clarify the figures I'm quoting, £5.29 is 1/35 of the new state pension (£185.15), and £4.73 is 1/30 of the basic state pension (£141.85) pre 2016. In my own situation I missed out on many years of contributions, so the figures I was given by the FPC for topping up correlate exactly with these maximum amounts. For someone with a long contracted out history the calculations will be more complicated and they may require considerably more qualifying years to get the maximum.
I think everyone here is in agreement about the need to speak to FPC and get specific information.