They don't. Morale is a free stat. Its not taking away other stats.
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Perversely I seem to recall that the ilv205(?) PVP set did contain a bunch of accuracy, which was annoying for me as a PVPer but handy for filling out sets back when ilv205 was still a thing.
What's so great about accuracy anyway? I hardly see my character misses anything unless she's under the blind effect. Even in endgame raids and trials.
The weekly cap has been lifted on the i250 Alexander: Creator gear (save for the weapon token), so why not use that instead?
The reason for Morale is to counter exactly what the OP is asking about.
It allows them to have a much lower iLvl for PvP gear so people are less inclined to use it outside of PvP areas. The morale buffs the iLvl within PvP zones (except anything worth a damn as it's all iLvl capped anyway) in order to counter this lower iLvl rating than current tier.
Honestly, if you want to gear up secondary jobs, you really should be spamming Alex normal. 15 extra iLvls is no joke, and it is probably just as quick (if not faster) to farm a piece of gear from Alex N than it is to farm the wolf marks for PvP gear.