What's the difference between רחוקות and נדירות here?

Is there a difference between לעתים and לעיתים?

I originally answered this question with the adverb after the subject rather than at the end, after the object.

I feel like that form is common with prepisitions but am I correct in assuming it doesn't apply to adverbs?

לעתים נדירות How are these two different? לעתים רחוקות

so, why not אני אוכל בשר לעתים רחוקות