The proj definition for EPSG:102682 is

    +proj=lcc +lat_1=29.3 +lat_2=30.7 +lat_0=28.5 +lon_0=-91.33333333333333 +x_0=1000000 +y_0=0 +datum=NAD83 +units=us-ft +no_defs

and for EPSG:3452 it is

    +proj=lcc +lat_1=30.7 +lat_2=29.3 +lat_0=28.5 +lon_0=-91.33333333333333 +x_0=999999.9999898402 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=us-ft +no_defs

So lat_1 and lat_2 are swapped (which makes no difference) and x_0 is off by less than one millimeter.

I don't see any reason not to call them identical.

For official EPSG projections, the SRID in postgis is identical with the EPSG code. But 102682 is from ESRI, that's why you will not find it in the official EPSG database. PROJ/GDAL/QGIS call it EPSG:102682, but it should rather be ESRI:102682 (as spatialreference.org calls it).