No, the LNAB never changes, except when a bad LNAB is corrected manually to a better one. And on the profile page, name changes are reflected appropriately, with the initial name in parenthesis. Unfortunately, the display on the G2G page needs to be fixed to show the initial name as well, so one can tell who one is talking about.
But we are far better off than Geni. The first time I looked at Geni I saw that John Jones was marrying Jane Jones and Steve Smith was marrying Samantha Smith and I thought that Geni only dealt in brother-sister marriages.