Below the years I have noted monthly PIOMAS volume drop (in km3) and JAXA SIE drop (in km2). The SIE doesn't tell us all that much, because we don't know how thick the ice was. But when a lot of extent is lost, it usually has an effect on volume, but not necessarily the reverse. According to the preliminary data for the first half of June 2019, around 3091 km3 of volume was lost, even though extent loss was much lower than for the other three years. I'm surprised that 2019 lost more volume than 2011, which had a decent dipole, plenty of heat, and an extent loss of more than 1 million km2. This just shows how futile it is to try to eyeball PIOMAS volume.
Nevertheless, I will continue chasing this windmill.
For the second half of June, 2019 did have a decent extent drop, unprecedented heat and a dipole of sorts. I don't think it's enough to drop as much as 2010 did, with over 4000 km3. 2012 had a medium-sized cyclone rage over the ice pack, and apparently this helped to drop 3703 km3 nonetheless. 2011 had a similar drop, with not much heat, but a decent dipole.
My guess is that 2019 will have lost around 3850 km3 of volume during the second half of June, halfway between 2011/2012 and 2010. The total for June will thus be just under 7000 km3, which will put it on a par with 2017, just below 2012.