The Standard Islamic Narrative (SIN) states that Pope Honorius I accepted the Arab religion. In fact he only declared Monothelitism in a letter dated to this year. The Echo or historical kernal behind the SIN reveals more to us about the nature of Proto-Islam than it does concerning Honorius's heresy. The new religion must be Monothelitism which regardless of Church apologetics must therefore only logically mean the "Arian-like" doctrine that the one and only will that Ieso had was a regular human will. It is likely that Pope Honorius was aware of the Saracen raids of 629,630 and 634 and aware that Byzantium was unable to engage in any more wars and that Monothelitism was probably the only practical solution for the time. But Heraclius was Eutychian at heart and was reluctant to abandon his position until it was already too late.
Maximus is alleged to have tried to explain that when Honorius taught one human will in Ieso it was only to deny the existence of any lower will of the flesh but this was taken as meaning that Ieso only had a common human will. This kernel grew into Islam as we now know it.