“There’s a question” implies that there is a ground truth that might be discovered to resolve this rather than simply a clash of different purely arbitrary definitions of the same terms.
The Visegrad 4 (Poland, Czechia, Slovakia, Hungary)are generally taken to be "Central European". The strict East/West division is largely a product of the Cold War and the Iron Curtain.
No, the distinction into West/Central/East Europe was also relevant in the centuries prior. You're right with, that East Europe starts with Belarus, Russia and Ukraine.
Ah, yes, how could I forget! As a side note, though also Finno-Ugric then similarity in sound and appearance from Finnish or Estonian at least appears very far.