A complicated little entry. The first part of it is also in ps.-Zonaras, except for 'with a dative'; so, setting that word aside, the lexicographer seems to be drawing a distinction between the primary headword e)gxeirw= when used absolutely (see LSJ) and e)gxeiri/zw when it takes the accusative (see LSJ). A second contributor, it seems, then adds that the latter verb can also take the dative.
[1] Likewise in other lexica (and syntactical lexica).