I would like to note that while the Antarctic sea ice area/extent (and most certainly volume) are trending at historical (recorded history) highs; the most significant reason for this is that the circumpolar winds around Antarctic are abnormally high primarily due to the recurrence of the Antarctic ozone hole (because the winds push the sea ice away from ice generating locations, thus allowing more ice to generate). Furthermore, as these high winds contribute both to increased up-welling and to the reduction in AABW (both of which contribute to the current acceleration of grounded Antarctic ice); the fact that Antarctic SIA/SIE are high supports the position that the SLR contribution from Antarctica is continuing to accelerate.
Also, I would like to note that GCM projections indicate that the Antarctic SIA/SIE should begin to decrease by 2070 (assuming that the ozone hole heals itself by then as is currently projected).