That was no fun even back then. After a year, I upgraded to ISDN, which was a lot faster (64kbit), but once I got to use a faster line, even ISDN seemed awfully slow.
And the trend continues to this day. Once one has a faster connection, one gets used to it in no time. And just like many companies and individuals have solved problems with slow software by throwing more/faster hardware at it, these days we solve the problem of web sites making inefficient use of bandwidth by throwing more bandwidth at it.
Which might not even be such a bad thing - I would not like going back to programming in an environment where I have to triple-check every variable to see if I can shave off a couple of kilobytes, either.
But even a fast connection gets clogged at times, and even on a 16MBit DSL line, I have seen pages looking broken because the request for getting the CSS timed out or something like that.
Maybe taking more care not to waste bandwidth should be considered a form of courtesy. People on slow/saturated lines will thank you for it, and people on fast lines will be amazed at how snappy that website loads. (And of course, there's always trade-offs involved; I do not demand web developers sacrifice everything else to efficient bandwidth usage; but it should not be ignored, either.)