I thought hal is more assosciated with barry than ollie
Nope.
Hal is more associated with Green Arrow:
The Hal - Barry partnership and friendship came first...
First team-up Switched powers
And The
Light - Speed duo was played up and maintained through the Silver-age...
Referenced retroactively again in the post crisis U. Brave & the Bold
Then revised again post Rebirth...
They were played somewhat as the two buddy cops dynamic.
Barry being a - by the book, square, a bit o.c.d. formal cop in his real life, and expressing a freedom in his superhero life.
While Hal was the opposite, a free somewhat reckless maverick in his real life, and a cop who had to follow (although he rarely did) rules in his Superhero life.
They each envied the other.
The Hal - Ollie partnership began in the Bronze age. For the sole reason of them each having green in their name, so they put them in a book together.
Although they had little in common, and even their powers and abilities were at drastically different levels.
So
that is what they played up. They turned Ollie into a liberal espousing robinhoood, and to contrast turned Hal into a conservative tool of the Guardians, who now felt guilty for supposedly not using his time fighting for tenants rights, the homeless and the baby seal unions, even though he'd spent it saving them and everyone on earth from much bigger threats a million timers over.

Not sure how they are playing it now?
Was this part of a story I missed?