That doesn't invalidate the analogy.
Both are alternative attempts to explain phenomona, neither of which are embraced by most mainstream experts in their respective fields.
Here's another example: should we clutter up the minds of High School science students by teaching them Alternative Anti-relativity Theories? There isn't even time to do a good job of teaching them about Relativity as it is; if we take more time away to present them with "alternatives" that are NOT embraced by the vast majority of experts in the field, we do that student a grave dis-service.
For the moment, ID isn't even a scientific theory. It makes no useful predictions, it provides no explanatory framework, and it is not falsifiable. Hence, it isn't a theory.