Is someone wants to wear a wool garment for his tzitzis garment, shouldn't the fabric squares on the corner of a woolen tzitzis garment also be made from wool ? [It doesn't seem to me that the common wool garments have patches made of wool.]
The reason we place patches on the corner, is because if some would make an entire garment out of small patches [less than 3 fingers by 3 fingers], at least the corners would be a patches that are the correct size (see here). If so, shouldn't the patch also be made out of the preferred wool material?