Does a federal habeas court owe deference to a state's wider jurisprudence when a state court arbitrarily fails to follow its own law?

QUESTION PRESENTED Under the principle that federal courts must defer to state courts on questions of state law, if a state court arbitrarily fails to follow its own law, does a federal habeas court owe deference to the state’s wider jurisprudence instead of the state court’s articulation of state law in the instant case? i