The use of acidic Alcian blue will reveal acidic mucins in goblet cells, but will not show the neutral mucins, which maybe in separate goblet cell population, depending on pathological condition. The Alcian Blue/PAS stain will give you neutral vs acidic information. This application note has nice summaries of the usefulness of each type of mucin stain: https://www.leicabiosystems.com/knowledge-pathway/special-stain-techniques-for-the-evaluation-of-mucins/
I would also agree the combination of AB/PAS to reveal both acidic and neutral mucins is the best approach. You can also use high iron diamine/AB to further divide acid mucins into sialated and sulfated forms.