Google up "frequency agility radar" of which there are many types and
modes.
I understand you can juggle around the frequency but any radiation at
all from empty ocean should attract some attention.
It is sort of the doppleganger of how you can see a stealth aircraft.
The airplane doesn't reflect a meaningful amount of your radar signal
but it is a black hole in the sky where you also do not see the normal
background radiation from TV stations, cell towers and such.
It may not scream "airplane" but it is an anomaly worth being
suspicious of.
Trust me. Navy ships don't pinpoint their location with radar emissions
anymore. They did back in the systems of the 1950's and 1960's but that
changed in the newer class ships and new radar systems. Phased array
radar can send transmit a very narrow, directional beam, with emission
cut off in all other directions.