The kinship between people was not completely dependent on blood relations. The most important thing was the nurturing of feelings. Human hearts were made of flesh. No matter how bad Old Master Meng became later on, he had given the most genuine and best feelings to Bo Junyan and the rest.
He had forgotten that they were not related by blood. Subconsciously, he had felt that they were his biological daughters and grandson.
Hence, even if he wasn't his biological grandfather, Bo Junyan's feelings wouldn't disappear.
To his knowledge, that was still his grandfather.