You would assume that the Australian CEAFAR and Israeli EL/M-2248 AESA radars would make more sense than the SPY-1 series, being far lighter and efficient. Though the Israeli option wouldn’t be halal for the Saudis.
One of my projects one of these days to really understand the CEAFAR radar; the US has been fooling around with it to some degree.
The radar on the Aegis versions of LCS-1 and LCS-2 would be the SPY-1F, which is quite a bit smaller than the Regular SPY-1B/D; it’s the radar on the Norwegian Fridtjof Nansen Frigates.
A lot of people will look at the massive loadouts of weapons and equipment of these LCS versions for export and wonder why we don’t have them - they do have a point, given the basic helplessness of our LCSes, but on these loaded versions of the LCS, a LOT is almost certainly sacrificed; the crew is probably crammed into triple-racks worse than the worst Marine accommodation on our oldest amphibs, the range is likely even worse, etc.