Does it look like Jas. Kyle to you?
Sometimes it is clear to see how names get misread. This 1830 Census entry for Monroe Township, Licking County, Ohio, was located by searching manually. There are still times when a manual search is necessary. Not every name is easily readable.
Ancestry.com originally indexed this as “Gs Hyles” (Jas. Hyles has been added as an alternate rendering) and it is easy to see how that might have happened–particularly with the last name. That last name could easily have been read as Hyde as well. However, I think this is actually meant to be Jas. Kyle. James is known to have lived in the township for several decades.
Hyle(s) is not one of those “sounds like” variants that comes up when Kyle is entered as a search term.
And census records during this time period are one of those records that are begging to be read manually.