The reason 2G and 3G can sometimes reach further than LTE is for a similar reason - because it's easier to "hang onto" a 2/3G signal. The reason it's easier though is different - not because 3G is more efficient, but because it's less complex. This reddit thread[0] explains it better than I can, so I'll paste a comment from it here:
>>> The modulation scheme (how the digital "data" is packed into the "analog" wave to transmit it over the air) is simpler for [2G], which requires a lower wave quality to decode. It's the same reason you are more likely to get an [2G] signal farther away than LTE
Note that the reason 3G might be "faster" is probably due more to the congestion issue I talked about before - when the LTE network is oversubscribed, meaning too many people are connected to it and are slowing it down, sometimes dropping back to 3G (which very few people are connected to in 2021) can lead to you fighting less over your data.
[0] https://www.reddit.com/r/tmobile/comments/lwwkrl/when_was_th...
So in rural areas 5G signals would still use frequencies similar to 4G,so the more efficient use of spectrum will improve coverage and speed.
Regarding the observation that sometimes 3G signals are better than 4G - that might as well be because 4G has problems with congestion when many clients are connected to the same base station. One of areas which also 5G is also improving.
The same as existing mobile frequency stuff has about the same penetration as existing service, but because its more efficient, it allows towers to increase power to expand their coverage area. Generally towers will modulate their output power to reduce coverage when congested, hoping devices will attach to other towers; works well when there's enough towers with overlapping coverage, but not as well when towers are sparse.
It doesn't have to be purely power either, antenna angle makes a big difference, and phased antennas mean you can change effective angle without mechanically changing the angle.
This will rely heavily on the network design decisions made. Where I live, the digital TV switchover happened after LTE buildout was well on it's way, so all those juicy 700 MHz bands went to LTE. I literally can't remember the last time I saw my phone on 3G here, even out in the countryside with marginal coverage/dropouts. It's been at least 4 years.
For instance, one of the biggest benefits of 5G is that channels (bandwidth) can be much wider, and several can be stacked together, which means more data can be transferred. But even though that can be done, there may not be enough spectrum at a specific frequency to be able to take advantage of that.
Then the high-band (millimeter wave) can have even more channels than the low- and mid-band 5G. But high-band doesn't travel far and it doesn't penetrate walls well.
If you want a good primer on it that is accessible, I recommend the regularly updated "What Is 5G?" article from Sascha Segan at PCMag.[1] I think he's the best journalist writing about 5G.
This part I don't understand. I spend a lot of time on business and pleasure in places where cellular coverage is unavailable or unreliable. I thought that 5G signals don't go as far as 4G, so how can they reach "further" into towns and places that don't have cellular service?
(FWIW, there are a number of places in my regular [pre-pandemic] travels where the 3G signal is better and even faster than 4G signals.)