Can the "Senika heresy" be useful?
What Dōgen calls sennigedo is a view found in several schools of Buddhism, for example in the teachings of Tendai contemporary with Dōgen in Japan. But this is not what Matsuo Basho was expressing in "Mind itself is Buddha", the poem Dōgen used to argue the criticism you expressed in your quote. He quotes this poem in the story of Damei Fachang (Daibai Hojo) in both his Shobogenzo and Eiheikoroku. What he actually argues is:


  “The mind that has been authentically transmitted is ‘one mind is all
  dharmas; all dharmas are one mind.’….. We clearly understand that the
  mind refers to the mountains, rivers, and the great earth; the sun,
  the moon and the stars. …. Therefore, ‘mind itself is buddha’ refers
  to all the buddhas who carry out arousing bodhi-mind, practice,
  awakening, and nirvana. Those who have not yet been carrying out
  arousing bodhi-mind, practice, awakening and nirvana are not ‘mind
  itself is buddha.'”


Stated differently, Dōgen argues that until you realize (in both senses of the English word simultaneously, not just intellectually) that "Mind is Buddha", you risk to conceptualize Buddha-nature as eternal &amp; transcendent of causation and death. He is therefore not criticizing Basho, but the concept underlying the interpretation that all factors of experience (hō in Japanese, Dharmas in Sanskrit) are somehow not subject to causation (which implies they are timeless).

The best elaboration on this argument I know is in Heine's Existential and Ontological Dimensions of Time in Heidegger and Dogen Chapter "The Question of Time"