I do not know where this Qaramanlu name comes from but the Karamanlı-Karamanlılar-Karamanoğulları Beyliği which stated themselves as a continuation of Selçuklu abandoned-banned persian language even on streets and bazaars and ONLY spoke Turkish.
Qaramanlu was a tribe in Qarabagh. Yes there was a prominent Karamanlu tribe in Anatolia aswell, but these Qaramanlus under Safavids were Azerbaijani ones. Perhaps they had the same roots, but in that case part of them must have migrated to Anatolia early on (actually it is said that the grandfather of Karaman Bey migrated to Anatolia from Azerbaijan as a result of Mongol invasions), while a part remained in Azerbaijan. The same Qaramanlu tribe of Azerbaijan is mentioned in Qara-Qoyunlu and Aq-Qoyunlu confederations.