Here is a Japanese follow up study showing frequency of long CoViD after omicron is reduced.
http://www.news-medical.net/amp/news/20220518/Prevalence-of-long-COVID-19-after-Omicron-infection.aspx

This study however shows the rate is indistinguishable for three variants amongst triple vaccinated, but that delta had more long CoViD for unvaccinated or no booster. Also shows higher long CoViD for BA.2 vs BA.1. This one is good rich read
http://www.medicalnewstoday.com/articles/long-covid-risk-latest-data-on-three-variants#Slight-differences-in-variants