For what most people use their phones for extra bandwidth isn't going to make much difference, which is good because the individual is unlikely to see it: more devices are coming online as the bandwidth improves, and the demands you have increase too (usually outside your control: sites getting heaver, using higher quality video, ...).
The latency improvements will be more noticeable I expect, especially in busy cells because latency-centric problems tend to balloon much more than bandwidth-centric ones as the air gets more crowded. As the available throughput nears saturation both bandwidth and latency suffer but for most uses the latency is going to be what causes most problems because for many applications you can wait for the bulk of a block of data to come in as long as the first bits of it arrive in a short amount of time (in a web browsing example you can start reading before the rest arrives, unless the page is badly designed and doesn't render until everything is transferred).
Away from "normal" Joe Public mobile network use (web pages, games, some video, maybe maps) the next big thing is workers using VPNs, and again here latency improvements are going to be more beneficial to most people than a bandwidth boost.
Despite this the bandwidth improvement is the fact most shouted about. The reason for this is that it is a number people understand (or at least think they understand) because it is how these things are usually touted. It is not dissimilar to the back end of the GHz wars with CPU releases: at a certain point the extra clock ticks were meaningless because of many other factors, but chips kept getting sold that way because that is what the buying public "understood" and marketing didn't want to bamboozle them with other details (cache design factors, multi-core performance, ...).
If I’m downtown speeds are usually better.