If a global quantum satellite relay grid allows 6G Internet to decrease reception delay to 1/1000 of a second globally, how long for Earth to moon?

Currently, Internet standards leave "live" Internet music collaboration platforms limiting players to having to jam out with a full musical measure delay from each other. As the forecast 6G standard would in theory allow actual practically truly live collaboration, hearing each other at just a thousandth of a second after the fact, one side of the planet to another, at such a time or thereafter, could Earth to moon and back musical collaboration be fast enough to adopt the current terrestrial musical measure delayed mode? Could moon station residents actually jam out with those on Earth as Earthbound ones do, time delayed, with each other now?

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An Internet post on a search engine page claims Earth is about thirty Earth-widths away from the moon on average, which is maybe about twenty times as long as a satellite grid would be from one side of the Earth to the opposite location in such a grid. But if distance itself was not an issue, how could the relays from the Earth to the moon be kept practically in place from here to there? Even so, it'd still be like a twenty millisecond delay--not quick enough for perceptually live interchange.
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A NASA post claims a laser averages 2.5 seconds Earth to moon back to Earth.
If a global quantum satellite relay grid allows 6G Internet to decrease reception delay to 1/1000 of a second globally, how long for Earth to moon?
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