In the ancient days to me ‘broadband’ meant the opposite of ‘narrow band’, ie using a wider frequency range and was all about the amount of deviation from some centre frequency.
My ADSL world started very late, didn’t get ADSL here until summer 2004 0.5/0.5 Mbps fixed, but a lot of places around here were rather later than that, and for several years these unfortunates on some local exchanges had only had a choice of one ISP. Incredible.
When I was working as a local consultant, I didn’t use the term ‘broadband’ with any of my customers at all, I just said ‘fast internet access’ or ‘internet access’. And that was something that people could understand with no problem at all, in fact a lot easier and less geeky than ‘broadband’ anyway. Some of my business users could not get DSL yet and had to put up with twin-channel ISDN, with the BT anytime flat rate phone charge thing. (I too was on that BT anytime £45 thing, per month infinite zero rate calls to your ISP.)