When running a multi-round competition, should the Handicap Index® be updated between each round?

Which Handicap Index is used in a multi-round competition?

For a multi-round competition played on consecutive days, the recommended practice is to use the player's Handicap Index recorded at the start of the competition for all rounds. For ease of competition administration purposes, it is recommended that the Committee in charge of the competition use the Handicap Index at the start of the competition for all rounds of a multi-round competition played on consecutive days.

Can the Committee change a player's Playing Handicap during a competition?

However, the Committee reserves the right to modify the Playing Handicap™ of any player(s) before or between rounds of a competition. (Rule 7.2, Rules of Handicapping)