I guess I'd like to see a link to a credible source or two that reports such statements. I find it odd that people can be found who remember the newspaper policies from nearly 50 years ago, but there are no hospital records that confirm that either the now President or his mother were ever inpatients at any of the Honolulu hospitals.
It should be pretty easy to take some of the other certificate images that have been proffered on the web; and see if all of them were reported in these papers. I'm betting they weren't. Or to compare the number of announcements that appeared over some period of time and then compare with the expected number for that period from census or other data.
ML/NJ
There are still plenty of old geezers around who remember how stuff was done back in the day. On the other hand, hospitals and such do tend to dispose of or misplace old records after a few years or decades. Especially, if the pertinent parts of such records are supposedly safely recorded by the Department of Health.
Or to compare the number of announcements that appeared over some period of time and then compare with the expected number for that period from census or other data.
Remember that certificate number that was famously redacted with a black rectangle on the CoLB image the Obama campaign first released? Well, they let FactCheck.org post an unredacted image. The certificate number turns out to be 151 1961 - 010641. The last block of digits indicates Obama's was the 10,641st birth that year. Someone (I can't remember the link) looked up the stats, did the calculation, and concluded that that number agreed quite well with the August 4th birth date.
Or have a freeper in HI go to the library and find the announcements again.