To be honest, I wasn't watching football abroad much back then, as I was only a child effectively, but you're being very loose in what you define an era. You're going by what the players did throughout their career, rather than what they did in that specific year. To claim that the "early millennium" was dominated by the players is very misleading, as many of these players had their best players either in the mid 90s or later on than you're claiming.
We all look at previous eras and lump in the best of those eras together. According to wikipedia (I know I know) Redondo didn't play once in the 2000-2001 or 2001-2002 season. It's like me claiming Hargreaves is one of the best midfielders since 2008.
If I were looking at the whole careers of players, I would have included the likes of Matthaus, Hagi, Ballack, Makelele and possibly Simeone.
I did not include Matthaus and Hagi, even though they were footballing legends with stellar careers and had continued to represent their countries at Euro 2000, simply because they were no longer performing at a very high level.
I did not include Ballack (age 24 in 2000) and Makelele (age 27 in 2000) simply because they have yet to reach a very high level then.
I did not include Simeone despite his career achievements simply because his quality just fell short of the threshold
And I did not say early millennium which you erroneously claimed I did. I said at the turn of the millennium in 2000. You are the one going on about post-2001 when I gave you examples of the level Redondo, Deschamps and Veron were at in 2000 which I shall regurgitate
The 1999-2000 Champions League campaign, especially the game against United at OT, Redondo was at his imperious best. After he moved to Milan, Redondo was severely hampered by serious injuries in the next few years.
In 2000, Deschamps was captain of the reigning world champions and led them to triumph at Euro 2000.
When SAF forked out a British record £28.1m for Veron in 2001, he along with many United supporters believed we were signing one of the premier midfielders in the world. His subsequent struggle to settle in England does not change what he was in 2000 - one of the very best midfielders in the world.
As of 2000, they were great midfielders performing at a very high level, just as of today the great midfielders performing at a very high level are Xavi, Iniesta, Fabregas, Sneijder and possibly Alonso.
If Sneijder moves to United and struggled after that, does that mean he was not a great player today?
If Xavi moved to Milan and suffered career threatening injuries before seeing his career peter out, does that mean he was not a great player today?
There is always going to be a set number of players who are looked up at as the best in the world at the time. It'll almost always be the same amount of players, as there always needs to be a "best".
Do you think in 2001 that Redondo was thought of as the same as Roy Keane? Or Vieira? Now we look back on their whole career, most certainly we can say they're fantastic players, but no-one would look back on last season and say Scholes was one of the best midfielders on the planet.
It is not about the best midfielders of each era, it is about great midfielders in each era. Is there a fixed number of great forwards, midfielders and defenders in each era?
Again, as my OP stated explicitly and clearly the list is as of 2000. Redondo as of 2000 is certainly up there with Keane and Vieira. He and Hierro were the main pillars of the Real team that won the Champions League in 1998 and 2000. His subsequent injuries at Milan has nothing to do with how good he was as of 2000. If Iniesta is unfortunate and an injury practically ended his career in 2012, does that mean that he was not a great midfielder as of 2011? To address your Scholes example, he has not been playing at an equivalent level to Xavi, Iniesta on a sustained basis since 2009. The ravages of time but it does not change the fact that he was a great midfielder circa 1998 to 2008 and one of the best players ever to grace the English game.