As above, your electrician's advice is sound - it is not rated for a modern house (at 45A) and way past its designed lifetime. It ought to be a simple job for them to remove and bypass it given you have a modern isolator switch below it.
However you also appear to have a single RCD protecting the whole house (leftmost device in your board above it). That is not modern practice as (a) if it trips you loses all power, and (b) modern electronic appliances all leak a little, so the accumulation of a whole house of equipment often pushes the total leakage current to close to the trip threshold.
First step is to have the old Bill unit removed, if that leave thing satisfactory then OK, but you might be advised to look at a new CU (consumer unit = fuse box) that has ideally RCBO (individual over-current MCBs with RCD protection) or, as a minimum, dual RCDs so you still have some power when it trips. It should also have a surge protection device (SPD) now, another minor step in improved reliability and lifetime of electronics such as LED lights, as well as the more obvious PC/TV/etc.
The cost difference between the two is modest and personally I would always go for RCBO as less trouble from accumulation of leakage, and far easier to diagnose any future faults.