I’m not a goose caller, but I am a predator call collector, and the same “which material?” question commonly arises. Material alone doesn’t predicate quality - with the exception that some materials are simply better choices and some are simply bad choices. Material does influence sound, greatly, and a caller may prefer a specific sound “feel” produced by one material or another.
Generally, acrylics produce sharper, hard-edged tones, so any rasp or rattle is hard cut, whereas some woods may produce softer-edged tones with more mellow, singing sounds. I use both materials frequently, even on the same lanyard, but I’m generally more drawn to the sharper tones of hard materials like acrylic and horn for my distress calls - just my calling style. But I also do keep a more mellow wood call on my lanyard, just to be able to change up sounds a bit on the fly.