User blog comment:Hyp cos/A strong array notation (at my personal website)/@comment-5029411-20170228114806/@comment-11227630-20170228152302

No. From comparisons with Taranovsky's ordinal notation and his claims, {1{1,,2,,}2} corresponds to the recursively Mahlo ordinal (or the M in the weakly Mahlo notation), and {1{1,,1,,2,,}2} corresponds to the Pi-3 reflecting ordinal (or the K in the weakly compact notation).