Yes, but there are possibly several Lieutenants of Morgul. Why would there be only one? And, why would a Commander like the Wiki take his best sub-commander? He had no reason to believe he would fall, being empowered by Sauron's magic. So, the Wiki would take one of his lessers, as a back-up. His chief lieutenant of the citadel might be preparing a second wave (as we all should know, orcs lose troops by the thousands at any given time, and thus it would be wise to have a fit commander to come forward after Pelennor to both mop up, and continue the rampant slaughter that would carry into Rohan and Eriador).
I also don't trust Encyclopedia of Arda's claims that Gothmog was the second-in-command of Morgul, as it says something which I believe is a fallacy. TGWBS posted this from Arda:
Quote:
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As second-in-command to the Lord of the Nazgûl himself, he clearly had very great authority over Sauron's forces
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. If Gothmog had such great power, he would have kept the Orcs from fleeing, if he was indeed a Nazgul. But, he only was able to muster the Easterlings. Why only them?