I can't. There is no room for my interpretation.
Also what appears to be true that the name Hellenes, is a distortion of Hylleans or Hyllinoi, probably in their dialect.
And that is the Paradox,
we do not know Illyrian language,
we believe it was a ParaCeltic with Germanic elements (Norici),
or alternative modern Albanian could be a 'daughter' language of Illyrian,
or an Aromani dialect could be remnant of Illyrian
We do know enough and reconstruct Brygian language,
Also
Ptolemy which is favorite to Albanians due to the Makedonian city of
Albanopolis
declares clear
ΑΡΧΕΓΟΝΟΣ ΕΛΛΑΣ = Proto-Hellas, start of birth of Hellenes,
Same says Aristotle
ΕΛΛΑΔΑΝ ΑΡΧΑΙΑΝ = Ancient Greece
Same when others say
ΩΡΚΙΗΝ ΥΠΕΡ ΑΙΑΝ ΕΡΕΙΔΕΤΑΙ ΕΛΛΑΔΟΣ ΑΡΧΗ,
Strabo gives as bnorder the Egnatia road
So Jovani ,
if these Hylleians sons of Hyllas are the Hellenes, then lived in Epirus,
Not in Illyria,
But the myth say that their land was 1/3 of the Doric Kingdom,
which means x3 the illyria (or Epirus if you like)
very big area for that days,
If Hylleians were illyrians and also Sons of Hercules,
means they were born somewhere of mt Pelion and Olymp,
so Illyrians moved from Central Greece to Illyria?
if Hylleians were the Hellenes as you propose,
Then the reast Dorics as pure Hellenes would also speak Illyrian,
which means Illyrian should be an Hellenic Dialect or a para Greek language.
I think the extra conclusions if accept that myth you mention, have many empties, or paradoxa, or drives to strange unknown devastations and situations,
So I keep my precautions conserning 2 main things,
A) Barbaric were also called the Aetvlians the Makedonians etc other NW Greek dialects
so calling Hylleians Barbaric = nothing special.
B) among Lychnitis and Aeges was the Brygian capital of Edessa
so yes some Illyrians if came before iron age so south, might also lived among Greek tribes.
as some parts of Greece and wider Balkans, even Europe I would dare to say might have not even IEnized.
Remember a slavic tribe at Slavic invansions reached so far south to Peloponese,
same some illyrian tribe might entered Helladic space and allied and unified with Graekoi,
as also Greeks enter and also colonise Illyria.
All are possible,
But i do not believe that dorians were illyrians
neither illyrian was a Greek language,
just to bring some history,
Battle of Erigone among Phillip and Bardyllis
Amyntas search for shelter in Illyrian tribe
Illyrian and Makedonian wars against Romans,
or you Think Illyrians were perfect and did not had fights among their tribes, like the Greeks had,
the case of king Ballaios is characteristic.
I believe, i kept a civilized tone for an imbecile Ι am