I linted one of your URLs and it states the the fb:admin and fb:app_id should be specified for better click-thru rates
Like Button Warnings That Should Be Fixed
Admins And App ID Missing: fb:admins and fb:app_id tags are missing. These tags are necessary for Facebook to render a News Feed
story that generates a high clickthrough rate
http://developers.facebook.com/tools/debug/og/object?q=http%3A%2F%2Fwww.reyniersaudio.com%2Fblog%2Frecording-computer%2Frecording-computer-cpu-benchmarks-sandy-bridge-nehalem-and-bulldozer-processors-compared
I have timeline enabled and it did no post to my timeline at all. Strange huh?
EDIT
Based upon some comments from Roeland on other responses:
The funny thing is, this worked about a week ago. It WOULD post to my
timeline. In addition, if I go to my "activity log" it shows that I
liked something. It also supposedly lets me "allow it on the timeline"
which is the setting by default.. yet it does not show up on my
timeline
I'm wondering if it could have something to do with too many people reporting the stories as spam, or the app id was hijacked and used for spam purposes (or the domain/ip being marked as abusive, etc). Maybe this has caused Facebook to become more cautious when "showing" this liked content. ifaour has seen the content on his feed and timeline, however I could not get it to show.
My concern is that no app_id was specified and not admin was specified either. You can reuse the same app_id with many comments/like buttons (contrary to your assertion that you must have a new app id for each like button...not sure where that came from).