Even with speakers that have decent directivity, using on-axis EQ with peaking filters above 2x / 3x of the room transition frequency is overly optimistic and should be avoided unless absolutely necessary.
I experienced this first hand while I was using KH 310s. I tried everything to fix the KH 310's issues in my room, but despite its good directivity the problems persisted regardless of what on-axis EQ I applied. Making the in-room response tidy & smooth isn't answer to everything. We are cursed and blessed at the same time for not having linear hearing function like microphones have.
Having changed 3-4 different rooms over the years, the first thing I did when I built the previous house was to get people to fix my listening space.
First time I got in it I could ask me and answer to me back in one go

(it's about 80 m² )
First thing they proposed to me was a booth around me, I'm not joking. Yes, we had fun before they kick me out to do their job.
But seriously now, that was the room they fixed, no speakers of mine in, just their gear, etc.
I got my suggestions about how to place my speakers in general, what to do, what not to do.
The big "don't"s was to never touch the ceiling treatment and never EQ speakers over 200Hz or so.
And not to believe what I see at REW up-high, even gated (I was in a giant rabbit hole with it in my previous room) .
Also been on the long side of the room, I'm married to at least 500-700ms at RT, no matter the treatment.
With all the above, what I really want to say is that speakers is a minor worry at the big scheme.
As long they are big enough to fill it, have decent bass-midbass and controlled highs (not even a hint of pronounced 4-8kHz, that's an instant headache for me) I'm absolutely fine.