I have no idea if Lord Charles is the name of the puppet we see on Celebrity Watch Party, though there is some significance in Ozzy Osbourne naming his puppet that.
Did Osbourne name his dummy (which probably never got to hang with Jeff Dunham) after Alan’s as a tribute to the performer’s legacy?
Lord Charles was the dummy of famous British ventriloquist Ray Alan, who had actually died a couple months prior to that interview.
It’s possible, though I have no way of knowing without asking the Prince of Darkness himself.
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Ray Alan with "Lord Charles" - World's Greatest Ventriloquist - 1986