DW75, I can only speak for the Phonak Cros but I'd caution you (and any other hearing aid buyers) to take the claims with a grain of salt because all hearing aids are helpful but not perfect.
The Phonak Cros is for people with one side deaf and the the other side good. The Cross receives sound coming toward the deaf side and transmits it to the aid on the good side.
One of the things I learned in owning the Cros is that the directionality feature (Zoom) is not available with the Cros but only with two functioning hearing aids.
I've also found that the various programs are only partially helpful in restaurants and social settings where there are lots of background noises and/or lots of people talking.
In a restaurant the hearing aids bring in the clanking of dishes in the kitchen loud and clear and tends to drown out the person I'm talking to. I've learned that a reasonable solution to that problem is to sit with my deaf side toward the main area of the restaurant and turn off the Cross and just rely on the left side hearing aid to bring in the voice of my companion.
Whatever you buy, make sure you can try it risk free for 30 - 90 days cause it takes that long to adjust to the programming.
And make sure you do buy the remote. I have the MyPilot, the one with the screen, and I can tweak the settings any time.