If SIPN entries had been made here: (these are a late commentary on selected June entries, not July, which is scheduled for release next week)
CPOM (Schroeder, based on May melt pond statistics) mean 4.3 sd 0.5 which is probably 4-4.5 M, but not far short of H.
UK met office (dynamic model, seasonal forecaster using ensembles from May conditions) mean 5.2 sd 0.3 which is 5-5.5 H.
US Navy (dynamic model, often referred to on these boards as HYCOM) 5.2-6.3 ensemble range, which is 5.5-6.0 M (would be H but they say the ensemble range is an under estimate in their submission)
NISDC expert group guesstimates mean 4.4 sd 0.33, which is 4.25-4.75 M (rather than H on the basis that the sd is just the variation between experts, not how confident the experts are)
NSIDC Boulder (statistics with a Slater like approach but not the actual Slater model) Mean 5.59, 95% range 3.66-7.97, which is 5.25-5.75 L (maybe even VL)
Nico Sun a.k.a. Tealight, (statistics on albedo calculations) median 4.4 range 3.73-4.88, which is 4-4.5 H.
University of Washington (dynamic model, PIOMAS forced by a seasonal weather forecast) 4.07 +- 0.40, which is 3.75-4.25 H (might really be M but they aren't clear what the 0.4 actually is and I'm treating it as total uncertainty rather than a single standard deviation)
I expect there to be an update using June melt pond data from Schroeder but a lot of the others just make the one SIPN entry, though it would be interesting to see how an extra month of data changed the models.