Its fairly common to see teak treated differently in different areas. For example, my toe rail, dorade boxes, hatch boards are covered in Cetol Natural & Gloss. The wheel, cockpit table are covered in Epifanes Gloss Finish and Clear Varnish. My Cockpit seats are covered in Semco Teak Sealer - Natural.
Maybe a teak sealer like Semco would be the way to go, but even that I find somewhat slippery when wet.
Maybe you could post a picture or two.