If all a person did was drop a basic cable/satellite TV package and replace it with a similar Sling or PS Vue package, that doesn't really sound like "cord-cutting" to me. That sounds like someone tweaked their TV package (perhaps a leaner channel line-up for a better price) and changed to a different provider and distribution channel (streaming). They're still consuming the same basic product, dominated by "live" TV and commercials. Sure, there's typically cloud DVR and on-demand, but the old cable/satellite packages have that same basic functionality as well.
It's my understanding that the term "cord-cutters" originally referred to an entirely different way of watching TV... no live TV at all, no commercials, no skipping commercials with a DVR, no STBs, no schedules or electronic program guides, a rejection of most traditional network and cable programming, binge watching a season at a time, streaming providers like Netflix and Amazon Prime with their own highly-rated original programming, and lots of smaller niche providers like Curiosity Stream and BritBox that you can add for a month, catch up on new offerings, and then drop for a few months.
I suppose the word could have evolved over time, which is totally fine. I don't think it is particularly productive to debate whether that should or should not have changed, or if it even did. But I do think it's worth thinking about approaching TV in a completely new way. Not just "streaming" the same old product.