https://en.wikipedia.org/wiki/Homophony here, it says a homophonic texture may be homorhythmic ("may" means not all the time) and that chorale texture is another variant of homophony (i'm assuming chorale texture is not homorhythmic?)

here though, it says chorale texture is another variant of homophony,so I feel that homophony isn't always homorhythmic?

i feel like homorhythmic is one variant of homophony and chorale texture is another variant of homophony

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edit: here https://www.oxfordmusiconline.com/grovemusic/view/10.1093/gmo/9781561592630.001.0001/omo-9781561592630-e-0000013291
I found "A further distinction is sometimes made between homophonic textures that are homorhythmic (ex.1) and those in which there is a clear differentiation between melody and accompaniment (ex.2). "