It's not wasting money on room correction with a limited budget.
Room correction and room treatments can be the biggest improvement in sound quality you can make.
Why buy bookshelf speakers and have to waste money on a sub to cover the deficiency?
Because the bass that I get from my calibrated, 1000 watts rms, dsp controlled, sealed 12" sub will destroy your towers for powerful, clean, and articulate bass.
You really need to go hear a properly calibrated system and hear the room correction being turned off and on, it'll be a huge eye opener for you. You'll really regret not hearing the difference sooner.
That's your opinion. You don't know my system, please don't say yours will destroy mine. What system do you have? What speakers and what amps? I have both bothshelves and floor standing. I take the floor standing any time of the day.
For music, less is more, adding DSP just adding one more layer of distortion.