I don’t think anyone making such policies thinks that those things alone will save the planet. It’s about a mentality into the daily choices we make that makes the difference.
That said, leds that are 13-15 watts instead of 60 watts does make a big dent into saving electricity at the country scale.
I mean, without any numbers it's difficult to know what your understanding of "much of a difference" is, but replacing 60W incandescents with 10W LEDs can save MWh/year for a single property.
A single bulb used 5h/day[0] on average means 90kWh/year. Aside from lowering the load somewhat, depending on the electricity prices the LED bulb might pay for itself in a year.
[0] which is not really difficult, 6 to 7 in the morning and 18 to 22 in the evening and you're there.
That said, leds that are 13-15 watts instead of 60 watts does make a big dent into saving electricity at the country scale.