Would Ichibe have power over the Hōgyoku and its user?
Ichibe claims to have named everything (which honestly doesn't make any sense since the universe and intelligent life seem to be older than him, but whatever) yet the Hōgyoku is an invention of Urahara and named by him, as far as we know. The Hōgyoku also manifests the desires of its master, making them capable of adapting to everything and countering any power. Aizen only "lost" to Ichigo because of his deep desire for self-sabotage and even then he would've recovered if Urahara's kido didn't intervene.
Do you think Ichibe would be able to take away the Hōgyoku's power with his zanpakutō and destroy its master if there was no inner desire for defeat like in Aizen's case? How do you think the interaction between Ichimonji's ability and the Hogyoku would be?