An entry in Fortnightly Topic Challenge #48: Unusual tag mix
(Somewhat in the spirit of the What is a Word™/Phrase™ series started by JLee, a special brand of Phrase™ and Word™ puzzles.)
If a word conforms to a special rule, I call it a Prebus Word™... or maybe if a word conforms to a slightly different special rule, I call that a Prebus Word™??
Noting that the rebus and word-property tags had never been paired, I wanted to create a 'What is a... Word?' puzzle based on rebuses. Each of the rebuses shown below represents a single word. Those in the left-hand column share a property, while those in the right-hand column share a different, related property. Your task is to identify all 12 words from the rebuses, use these examples to find the two rules, and comment on which of the two rules you think is the correct interpretation of a 'Prebus Word™' (and why).
(Please try to complete as much of the puzzle as possible before posting an answer - no partial answers explaining just a handful of the rebuses, thank you!)
The puzzle satisfies the series' inbuilt assumption, that each word can be tested for whether it is a Prebus Word™ without relying on the other words. These are not the only examples of Prebus Words™; many more exist.