Why not say that Bodhidharma was later known as Padmasambhava and then Padamba Sangye? Or Luke Skywalker for that matter. Why not?
But if we want to go with the known facts, Bodhidharma lived hundreds of years before that mahasiddha, he is supposed to have taught some Lankavatara Sutra teachings, practically Bodhidharma's whole life is a legend created centuries later and there is no definitive information of who Bodhidharma was (if he was at all).
"There is no such thing as the real mind. Ridding yourself of delusion: that's the real mind."
(Sheng-yen: Getting the Buddha Mind, p 73)
"Neither cultivation nor seated meditation — this is the pure Chan of Tathagata."
(Mazu Daoyi, X1321p3b23; tr. Jinhua Jia)
“Don’t rashly seek the true Buddha;
True Buddha can’t be found.
Does marvelous nature and spirit
Need tempering or refinement?
Mind is this mind carefree;
This face, the face at birth."
(Nanyue Mingzan: Enjoying the Way, tr. Jeff Shore; T2076p461b24-26)