I'm confused. So can a miscellaneous event be played between the players (ie: putting comp) to determine the outcome of a match? Or would that fall into this category and both players are disqualified?
The complete Decision is shown below. The players can decide on a method to determine who will concede the match, but that method cannot involve "playing a match other than in the form prescribed in the conditions of competition."
A putting contest to determine who will concede is not "playing a match."
2-4/21 Wrong Form of Play Used to Decide Which Side Concedes Match
Q. In a foursome match, the players are unable to arrange a date to play their match within the prescribed time limit for the round. As a result, the players agree to play a singles match between one player from each side in order to decide which side would concede the match in accordance with Rule 2-4. Is this permissible?
A. There is nothing in the Rules of Golf to prohibit players from agreeing to a method of determining which side will concede a match. However, in view of the intention of Rule 1-3 (Agreement to Waive Rules), if players agree to play a match other than in the form prescribed in the conditions of the competition in order to decide which side will concede, both sides should be disqualified under Rule 1-3 for agreeing to exclude the operation of a condition of competition (Rule 33-1).
If the players agree to use some other method which does not involve playing a match to determine which side will concede, such as a putting competition, tossing a coin, etc., they are not considered to be in breach of Rule 1-3.