Why would you need to get so technical about it? It's not enough if you tell them it's a REAL lifesaver, and required by the new building codes for a very good reason? You can quote me: someone on the internets says it saved his life. It really did once.
Anyhow, if you need to get technical, try this: Explain that electricity runs between two wires, and if you get between these two, you'll get electrocuted, but it's quite improbable that it happens that way, with the actual two wires. But now explain that the "another wire" is not actually only a wire, but it is connected EVERYWHERE, literally in the ground, pipes, floors, etc., so you only need one exposed wire (the another one) somewhere to die. Now explain that the RCD is a high-tech device which automatically detects anyone being between "the wire" and "the everywhere" and cuts the electricity so quickly that you'll get shocked, but won't die. RCD brings us back to the situation where you need the actual two wires to die, which, again, doesn't happen that often.
If this does not help, do what you need to do. Potentially killing people with negligence is no joke, and not a matter of family politics.
Or, show them this thread after a few more replies. Safety is no joke; there is a reason why people don't die of electrocution all the time anymore. RCD is one of the best things to happen to safety because the effect is great and price is low - it may be the single most easy and still effective fix.
1950's electrical installations may require a large checkup anyway. RCD may not be the only thing required. An electrical fire may result in from loose connections or poor insulation in 60-year-old installation.