According to some yes, obviously i didn't read the novel but according to the japaneses :
・冒頭で洞窟の中での武蔵の独白がある at the beginning, there is a monologue of musashi taking place in a cavern
・妖術師に呼び出された悪落ち英霊七騎が敵に回ってる the enemy is a demonic wizard that summoned 7 tainted warriors
・性格も残忍な殺戮マシーン化 all of them basically are evil killing machines
・斬られても死なない不死化 they won't die even after getting cut
・おぬい(お縫)立ち位置役割酷似 onui (the mob little girl with her baby brother) is more or less a copy of makai tensei's onui
・里襲われて手立てがなく隠れてやり過ごす the town at the beginning is being destroyed but mc couldn't do anything so he hides
・妖刀村正でしか倒せない can only use demonic sword muramasa to beat them
・2章で城下町行くまでストーリー展開が同じ the plot style is identical up until part 2
・胤舜が出てくる inshun (new 3star lancer)
・村正が出てくる muramasa
・柳生も出てくる yagyuu (old man swordsman) (also musashi)
・終盤城が炎上する the enemy castle burns down at the end
・燃える城で決戦 final battle within the buring castle
・闇落ち天草がラスボス the final boss is evil satanic amakusa