Is an AGM battery equal to AGM?

Good afternoon, are AGM batteries sold as starter batteries also usable as second batteries? As second batteries one should use “Deep Cycle” batteries, this corresponds to an AGM/GEL battery. But are all AGM batteries “Deep Cycle”? From my point of view, an AGM battery remains an AGM battery, no matter what it is sold, or am I wrong? Thank you Gruss