"high speed" can be swapped out for "high quality" in this context.
Spotty connectivity, packet loss, frequent disconnects - all things that come with shoddy internet infrastructure. High speed generally means higher quality.
And let's not forget that even just for work the internet is not only used to send plaintext emails. We video chat, we work with crappy bandwidth-hungry web apps, and those are just the smaller of the hungrier things we can do. At my work I have to download tens of gigabytes of foreign data every few days.
And as someone who works at home and manages a work-entertainment schedule to keep sane, it's pretty pathetic to see people try to squeeze out an "Admit it! You just want a faster netflix!" from others. So what if they do? If you compare internet access to access to drinking water, then high speed internet access is drinking water that doesn't taste like piss. Just because you can live off it doesn't mean it's pleasant.