Isn’t that what the hosts want? Gothmog’s time to shine will be after Sauron is defeated by Luthien and Huan.It would seem that way if you compare Sauron's failures with Gothmog's successes.
Up until this point, Sauron basically wiped out the Falathrim as a civilization, forced Melian to reveal herself, captured Maedhros, discovered the truth of the Kinslaying, and driven a wedge between the Noldor and the Sindar.
In comparison, Gothmog has sent an army of Orcs after the Sindar, which was almost entirely destroyed. The army he led was roundly defeated by Fëanor's army and he was personally chased off the field by Feanor's sons. Now, he's led yet another army to yet another complete an utter catastrophe. He's been wholly useless this entire season, while everything has come up Sauron the whole time.