looked into it for a bit a while ago; TLDR it's bullshit:
nevent1qvzqqqqqqypzqz4rnedwlxdqqznmmv95ny2cey4uf23qldjexxjj6p2mt6mdlaecqy2hwumn8ghj7un9d3shjtnyv9kh2uewd9hj7qg5waehxw309ahx7um5wgh8svrx9ehhyee0qqsqqqxu809ujhnwllvz6gdqlxrsfm6mprujs8jnhjk0ydc47v3swycm3lmxx
nevent1qvzqqqqqqypzqz4rnedwlxdqqznmmv95ny2cey4uf23qldjexxjj6p2mt6mdlaecqy2hwumn8ghj7un9d3shjtnyv9kh2uewd9hj7qg5waehxw309ahx7um5wgh8svrx9ehhyee0qqsf28rcgd386z6gsmq236j008vvgldqn44rfnjaggk44y7kzn80y7s5jpu7f
nevent1qvzqqqqqqypzqz4rnedwlxdqqznmmv95ny2cey4uf23qldjexxjj6p2mt6mdlaecqy2hwumn8ghj7un9d3shjtnyv9kh2uewd9hj7qg5waehxw309ahx7um5wgh8svrx9ehhyee0qqsgg4wep224teutf2xtdeaf2n9pen3vxm0tyywx5x6du46rgpztulg2hkufg
yes, you can run your own PDS but you have extreme limitations because everyone connects to their hub (which sets the rules), it's way less decentralized than even mastodon