Yup. Though there might be some divergences from otl due to the nature of the Komnenian restoration rather than the 60+ years long interregnum as in otl.For the 1204 map, can I assume that the Frankokratia are the same as OTL?
Well the Nicean restored Empire in otl was not a pushover as it survived almost 200 years after the reconquest of Constantinople. The Empire under Michael VIII Palaiologos was quite a strong regional power and was making a steady recovery. The Palailogian Renaissance was in progress although the Pronoia system was made hereditary. Under Andronikos II who was quite incomptent, the state floundered with the economy stalling and the Roman fleet being disbanded. However under the right leadership, the state was quite a formidable force. Alexios Philanthropenos in the 1290's was basically steamrolling his way across Anatolia. He was so formidable that despite him being blinded later in life due to court intrigue, the invading Turkish army retreated. That was how much weight his reputation carried. @Eparkhos_Ton_Trapezous has an excellent timeline about the Philantropenoi taking over and revitalizing the Roman state called A New Alexiad. I highly recommend checking it out. The Niceans also managed to defeat the Mongol Ilkhanate as well in otl. They also had detailed field manuals about Mongol tactics and practices as well.I'm thinking that modern day Byzantine empire will be made of Greece and turkey since I doubt that even at it's peak the bizantine could take more land that Greece and Anatolia and maybe if they are lucky some of Bulgaria and some of crimea
The Komnenoi in Trebizond were quite skilled as their state outlived the Eastern Roman Empire by over a decade. They certainly were more skilled than the Palaiologoi though, so they might be more successful than in otl.