What reasons are there for keeping unrealized tokens on a continuous scale in a mixed effects linear model? For example, in a study of voiceless fricative duration, what authors or arguments are you aware of for keeping the unrealized tokens of the sound (marked as 0 milliseconds, for example)? I can't seem to find the refs I know I've read on both sides of the discussion about keeping or discarding unrealized tokens of sounds, when sounds are measured on a continuous scale (rather than categorically as "present" or "absent").
This question is theoretical in nature, rather than R-code-specific, but is relevant to fitting linear models, specifically in my case, fitting mixed effects linear models with the lme4 package.