@javipi , No, no the way you are planning on adding it to your system. First off, frequency response measurements are taken at one meter. That is a far cry from 4 meters. Most speakers do not put any significant power out below 50 hz.
If you were planning on using a complete, two way crossover, crossing up above 80 Hz you would get the benefit of decreasing distortion and increasing headroom even if you did not lower your bass.
IMHO the low pass filters used in the majority of subwoofers is a bad joke. They do not high pass the main speakers and give you no control over slope and time alignment, two functions that are vital for proper integration. Other than having deep bass you should never be able to hear a subwoofer even crossing up at 120 Hz. Digital bass management is the superior way of doing thi Everything else is a compromise one way or the other.