The statement that he 'absolutely ignores the canonical Gospels altogether' and does not 'recognise any such works as of authority,' is much in excess of the evidence.

All that this really amounts to is that neither Hippolytus nor Eusebius say in so many words that Basilides did use our Gospels.

It would be a fairer inference to argue from their silence, and still more from that of the 'malleus haereticorum' Epiphanius, that he did not in this depart from the orthodox custom; otherwise the Fathers would have been sure to charge him with it, as they did Marcion.

It is really I believe a not very unsafe conclusion, for heretical as well as orthodox writers, that where the Fathers do not say to the contrary, they accepted the same documents as themselves.
The main questions that arise in regard to Basilides are two: (1) Are the quotations supposed to be made by him really his?
(2) Are they quotations from our Gospels?
The doubt as to the authorship of the quotations applies chiefly to those which occur in the 'Refutation of the Heresies' by Hippolytus.

This writer begins his account of the Basilidian tenets by saying, 'Let us see here how Basilides along with Isidore and his crew belie Matthias,' [Endnote 191:1] &c.