Polycarbonate has the worst optical properties of any commercially available
lens that is commonly dispensed. It is especially troublesome with
peripheral vision on aspheric lens designs and progressives. You did not
state exactly which Essilor lens design you were given, but I am assuming
that it was probably aspheric with your Rx.

Essilor 1.60 plastic is much less prone to chromatic aberration and
peripheral blurring than polycarbonate. The Crizal Alize AR is coating is
generally well regarded as durable and easy to clean (compared to other AR
coatings).

Hoya single vision lenses are available in a standard Hi-lux spheric, or an
improved Nulux aspheric which results in less deformation in the periphery
of the lens. I am not sure how this relates to "Supervision" but if it is
the same as Nulux, then it might be better than the standard Essilor
aspheric design. Ask your optician about what Supervision means, or contact
hoyavisioncare@hoyavision.com for more information.

The Hoya Eyas 1.6 has very good abbe value of 41 compared to Essilor 1.60
index which is 36 (the higher the abbe value the lower the chromatic
aberration which can affect peripheral vision). Polycarb has an abbe value
of 30 (not acceptable in my opinion).

If you think you need a lens with safety properties (high impact resistance
and tensile strength) of polycarbonate, but with excellent optical
properties (abbe value 43), I would highly recommend the Hoya Phoenix
(Trivex) lens material. At 1.53 index, Trivex is not as quite thin as 1.6 so
there may be cosmetic concerns relating to edge thickness if that is a big
issue with you.

Some of this is personal preference here:

I don't like the appearance of the Sola Teflon A/R coating.  The
residual blue is too strong, IMHO (although Sola thinks it is
"pleasing").  I haven't prescribed enough of these to know whether, in
the long run, it is as durable as others.

I think you can't go wrong with Essilor's Crizal Alize, Hoya's Super
HiVision or I-Coat's Vivix Stainless.  Zeiss' high-end A/R coats are
excellent too.  I hardly ever have patients that get these come back
complaining that the coating has scratched up, peeled, etc.

I don't find there to be a huge difference between the modern
progressives for the vast majority of patients.

For a prescription like yours, my first choice would be to fit you in
a 1.67 modern progressive like a Varilux Panamic with Crizal Alize,
but a Kodak Precise/Concise with Vivix Stainless works usually just as
good for the vast majority of my patients.  1.67 Zeiss Gradal are
"tops" too.  :)  Essilor has a 1.74 progressive with A/R coat out now
too.

FWIW, I'm not a big fan of Sola or AO progressives, probably because I
had bad experiences with the Percepta and the Compact respectively.