No, there is no meaning to this because holy water is always considered a sacramental. When you use holy water, you are receiving blessings and actual graces from the Lord, and even some partial indulgences. Therefore, it has no meaning to remove this water during Lent or in the lead-up to it, especially when holy water is blessed with specific blessings.
It also serves as protection for the faithful. In former times, I think it was during the Holy Triduum, particularly on Holy Friday, that holy water was removed in anticipation of the blessing of the new holy water at the Easter Vigil. This was discussed in some places, but it was not a widespread practice during the entire Lenten period.
Dear visitors of Gloria Dei and all who have already written or who will write a personal message to me. I am grateful for your attention, your kindness, for your spiritual support and especially for your sacrifices and prayers for me. God may reward you!