Ah, another member of CANOE! That's the Campaign to Ascribe Nautical Origins to Everything. A square meal, for example, had nothing to do with the British navy, but was originated by workmen and the hoteliers and restaurant-keepers who served them in America in the mid-19th century.
The point is that 'square' in this phrase had nothing whatsoever to do with tray-shapes, but was used in the sense of honest as in such sayings as, "I'll be square with you" or "fair and square". Thus, a square meal was simply a hearty one and good value for money.
I'm wasting my time here, I realise, but Michael Quinion - as referred to earlier - dismisses the navy connection with the words, "Rubbish, of course" which is much the same as he said about the brass monkeys.
Click
here to see what he has to say about square meals. (
The Oxford English Dictionary agrees with him on
this one, too.)
However, if people insist on believing what amateur etymologisers say and won't accept the views of major language-experts in a matter concerning nothing
but language, what more can one say? I suppose, when they're ill, they consult some guy sitting in the corner of the pub or when their car breaks down, they call in a joiner to fix it!