There was no internet in the 80's when the Lakers and Celtics battled it out that decade for supremecy, so no fan debates existed outside of the papers and talk radio.....However, I lived through it. Let's look at a few facts....
Champs
1980 Lakers
1981 Celtics
1982 Lakers
1983 76rs
1984 Celtics
1985 Lakers
1986 Celtics
1987 Lakers
1988 Lakers
We were always +1 or even with Boston until after 1987. In 1987 we had 4 championships in 8 years and no one would give us dynasty status. Two reasons; No back-to-back, and 3 Celtic les in our span with usually as many as we had. We won in 1988 and then had 5 in 9, and got the Dyansty le.
This compares similar to the Spurs success. You have 4 les in 9 years, but there is a Laker dynasty with a 3peat interupting your run. If the Lakers win it all this year, we will have 4 championships in 9 years, but our dynasty can't go back to 2002. We have to start a new one by winning more.
If the Spurs want undisputed claim to Dyansty status, they need to win it all this year. That gives you a back to back and four les in six years. You may date your dynasty from 2003, not 1999. The latter le is just a nice bonus for you. Right now, few people outside of San Antonio call you or believe you to be a dynasty. You are a incredibly great team, I don't detract from your success one bit. But Bird never got his dynasty, and Magic and Kareem came close to not getting theirs either.