No, they are different transformations. Here are the values:
PE_GT_WGS_1984_ITRF08_TO_NAD_1983_2011 \
"WGS_1984_(ITRF08)_To_NAD_1983_2011" \
PE_GCS_WGS_1984 \
PE_GCS_NAD_1983_2011 \
PE_MTH_COORDINATE_FRAME \
PE_PAR_X_AXIS_TRANSLATION:+0.99343 \
PE_PAR_Y_AXIS_TRANSLATION:-1.90331 \
PE_PAR_Z_AXIS_TRANSLATION:-0.52655 \
PE_PAR_X_AXIS_ROTATION:+0.02591467 \
PE_PAR_Y_AXIS_ROTATION:+0.00942645 \
PE_PAR_Z_AXIS_ROTATION:+0.01159935 \
PE_PAR_SCALE_DIFFERENCE:+0.00171504
PE_GT_WGS_1984_ITRF00_TO_NAD_1983_2011 \
"WGS_1984_(ITRF00)_To_NAD_1983_2011" \
PE_GCS_WGS_1984 \
PE_GCS_NAD_1983_2011 \
PE_MTH_COORDINATE_FRAME \
PE_PAR_X_AXIS_TRANSLATION:+0.9956 \
PE_PAR_Y_AXIS_TRANSLATION:-1.9013 \
PE_PAR_Z_AXIS_TRANSLATION:-0.5215 \
PE_PAR_X_AXIS_ROTATION:+0.025915 \
PE_PAR_Y_AXIS_ROTATION:+0.009426 \
PE_PAR_Z_AXIS_ROTATION:+0.011599 \
PE_PAR_SCALE_DIFFERENCE:+0.00062
The transformations occur in 3D Cartesian space, and you can see the differences between the two are pretty small.