One of the 59 TAO was Ratsada (รัษฎา) in Phuket. When I now checked their website again, I noticed that the history section lists the history of the first TAO as well. According to that it was abolished in 1972, and then the new TAO was created in 1994, and this became a subdistrict municipality in 2007.
As I didn't find the abolishment of the TAO in the Royal Gazette before, I read that section in more detail.
ในปี พ.ศ. 2519 องค์การบริหารส่วนตำบลรัษฏาถูกยกเลิก โดยคำสั่งคณะปฏิวัติ ฉบับที่ 326/2515 ให้มีฐานะเป็นสภาตำบลเหมือนกันทั่วประเทศSo it the abolishment of the TAO was one the many revolutionary commands issued by the leaders of the coup in 1972 - the creation of the Bangkok metropolis is another notable one. Yet I think the 2519 in the text must be a typo, as I doubt that the coup leaders intended to keep the TAO running another 4 years. The full text of the command can be found the Royal Gazette under the title ประกาศของคณะปฏิวัติ ฉบับที่ ๓๒๖ (with the comment added by the Gazette database มีสถานะเทียบเท่าพระราชบัญญัติ การจัดระเบียบบริหารของตำบล - equivalent to an announcement on the subdistrict administration). Eleven pages of legal text is however a bit too much for my Thai knowledge, so I don't know what other changes additionally to the abolishing of the TAO have been ordered by this command.
In 2519 the TAO Ratsada was canceled. Revolutionary command No. 326/2515 made it a district council like in all of country.