Absolutely!
But…
There is no such thing as a perfectly tuned room.
That’s simply not possible.
E.g. you can’t get rid of room modes. You may tame them, but that’s all.
And below 100 Hz the problems grow and are extremely difficult to solve.
The perfect room, or nearly perfect, is called headphones 
2nd But…
Speaker’s design massively influences its own frequency response (within a room).
E.g. a rear ported speaker, depending on the port depth and diameter, will fire a certain frequency range to the front wall which will then bounce back with a certain delay. That will cause dips or peaks, depending on listening position and speaker placement.
You then have laminated/round front ports, sealed boxes, multiple boxes, pistons, membranes, etc..
See my point?
Choosing a speaker design is choosing a problem.
A nicely sized/shaped and treated room, will accommodate any speaker.
But all speakers come with different problems. That’s why choosing a pair of speakers is matter of taste, mostly (usually, but not always, within a price range).
There is a lot of information out there, college books, AES publications, and youtube videos that try to make the problem easily understable.
You seem to have done a nice job yourself at correcting your room. With a great effect I suspect