Tom, the plastic antenna holder is 3cm further back than the plane of the front of the mounting plate.
The top of the remote is only 3,5 cm. So unless the plate sticks out, over the top of the remote, the antenna only is about 1 cm more to the back.
But let's compare it to the switch panel, then (this is about the only part on the remote on the same level as the plate, since the panel doesn't stick out, as far as I can see in the screencaps). OK, this panel is a bit tilted, but if you measure it straight up, ignoring the slight angle, this is about 17 / 18 mm. As you can see, the panel is less than three times this panel, so less than 51 / 54 mm... I really think you can loose some space below the bottom row of screws, and above the top row, really...
Do you already have these screws? Maybe a picture of the plate with the screws in, gives another image... Or maybe a picture fo the remote with plate from the front, rather than from above, because this angle plays tricks with the eyes too...
Just wanting to help making these as screen accurate as possible, mate
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