LU- why? why should it be any different than using the Persian names for months after galus bavel/paras ended- you know, Nissan, Iyar etc. before that they were referred to as 1st month, 2nd month to commemorate yetzias mitzrayim, but alternative names existed- like chodesh Ziv. Those names gave way to Nissan, Iyar davka to remember the galus, or salvation from. So if you follow that line of thinking, we will keep the names for the months after this galus ends, so Nissan will be April, etc.
By the way, where do the names of the months derive from- Latin? The days of the week come from Greek/Roman gods or planetary objects that were worshiped by pagans- like Saturn’s day, Thor’s day, Sun’s day, Moon’s day..is it the same for the months?