No. All that is required is that the tincures are swapped charge for field.
See, for example, the Welsh badge I already showed,
quarterly Or and gules, four lions passant guardant counterchanged
or the arms of Lord Peach " Per fess Or and Azure the Sword of Mercy erect pommel in base Proper between four Stafford Knots all counterchanged"
I was going by the description in Wikipedia. Perhaps I misinterpreted it.
And I’m going by how several actual real arms are blazoned.
Found a new one while doing a jigsaw puzzle today - the town of Brienz, Switzerland:
Per bend sinister wavy Azure and Argent overall a Lion rampant counterchanged langued and vilené Gules
(I would say pizzled not vilené, in an English blazon)
Gotta love heraldic terminology.
So whoever was drawing this up wanted to make sure we knew that was a very rampant lion.
Here’s an image recognition game to play with flags:
The Colleoni family of Bergamo, Italy bore a coat of arms “party per fess, gules and argent, three inverted hearts countercharged”.
“Inverted heart” was a 19th Century euphemism. Their medieval ancestors had blazoned it “three scrotums” or “three pairs of testicles”.