A disposable absorbent pant having a longitudinal axis, and comprising: front and rear panels (20, 30) each having a waist edge (11, 12) and a pair of leg edges, and comprising a stretch laminate material, the stretch laminate material comprising an inner layer (21, 31) and an outer layer (22, 32), each of the inner and outer layers being formed of nonwoven web material, and an arrangement of a plurality of longitudinally spaced, laterally extending and laterally prestrained elastomeric panel strands disposed between the inner layer and the outer layer, wherein the front and rear panels are joined to each other along left and right side seams each having a top end and a bottom end; and an absorbent pad assembly comprising: a front portion terminating at a front end and a rear portion terminating at a rear end, the front portion being joined to the front panel at a front joined location such that the front end is disposed above the bottom ends of the side seams, and the rear portion being joined to the rear panel at a rear joined location a such that the rear end is disposed above the bottom ends of the side seams, and a liquid permeable topsheet, a liquid impermeable backsheet, and an absorbent core structure disposed between the topsheet and the backsheet; a left edge and a right edge, wherein at least one of the front and rear panels includes an unelasticized zone (90, 90f, 90r) across which one or more of the elastomeric panel strands in the arrangement do not extend, the unelasticized zone being disposed between the left side seam and the right side seam and having a longitudinal center line, the longitudinal center line being closer to one of the side seams than to the longitudinal axis of the pant; and wherein at least one of the front and rear panels includes left and right unelasticized zones across which one or more of the elastomeric panel strands in the arrangement do not extend, each of the left and right unelasticized zones being disposed between the left side seam and the right side seam and having a longitudinal center line, the longitudinal center line being closer to the respective left or right side seam than to the longitudinal axis of the pant; wherein each unelasticized zone present has a topmost extent, and is widest at a longitudinal location below the topmost extent. front and rear panels (20, 30) each having a waist edge (11, 12) and a pair of leg edges, and comprising a stretch laminate material, the stretch laminate material comprising an inner layer (21, 31) and an outer layer (22, 32), each of the inner and outer layers being formed of nonwoven web material, and an arrangement of a plurality of longitudinally spaced, laterally extending and laterally prestrained elastomeric panel strands disposed between the inner layer and the outer layer, wherein the front and rear panels are joined to each other along left and right side seams each having a top end and a bottom end; and an absorbent pad assembly comprising: a front portion terminating at a front end and a rear portion terminating at a rear end, the front portion being joined to the front panel at a front joined location such that the front end is disposed above the bottom ends of the side seams, and the rear portion being joined to the rear panel at a rear joined location a such that the rear end is disposed above the bottom ends of the side seams, and a liquid permeable topsheet, a liquid impermeable backsheet, and an absorbent core structure disposed between the topsheet and the backsheet; a left edge and a right edge, a front portion terminating at a front end and a rear portion terminating at a rear end, the front portion being joined to the front panel at a front joined location such that the front end is disposed above the bottom ends of the side seams, and the rear portion being joined to the rear panel at a rear joined location a such that the rear end is disposed above the bottom ends of the side seams, and a liquid permeable topsheet, a liquid impermeable backsheet, and an absorbent core structure disposed between the topsheet and the backsheet; a left edge and a right edge, wherein at least one of the front and rear panels includes an unelasticized zone (90, 90f, 90r) across which one or more of the elastomeric panel strands in the arrangement do not extend, the unelasticized zone being disposed between the left side seam and the right side seam and having a longitudinal center line, the longitudinal center line being closer to one of the side seams than to the longitudinal axis of the pant; and wherein at least one of the front and rear panels includes left and right unelasticized zones across which one or more of the elastomeric panel strands in the arrangement do not extend, each of the left and right unelasticized zones being disposed between the left side seam and the right side seam and having a longitudinal center line, the longitudinal center line being closer to the respective left or right side seam than to the longitudinal axis of the pant; wherein each unelasticized zone present has a topmost extent, and is widest at a longitudinal location below the topmost extent.