Vladimir...The capacitor idea is attractive, but...
1. The capacitor will give you only a 6 dB filter. It will significantly impact frequencies well above where you want to make the crossover.
2. The capacitors used in a line level filter will be of much smaller value than those of a speaker level filter and can be of the highest quality for less money.
3. The 6 dB filter will cause a 90 degree phase shift. An active line level crossover with the ubiquitous four pole L/R 24dB characteristic has a 360 degree phase shift, which is back to 0 degrees.
4. Active amplification in the line level filter is just several unity gain impedance buffering stages. These are easily implemented with almost unmeasurable distortion.
5. With a capacitor you will not be able to easily experiment with different filter frequencies. You will probably want to do this. Personally, based on much experience in this matter, I go so far as to vary the X/O frequency according to the particular music I am playing, and this requires a crossover with a frequency selection knob.
I have done the capacitor thing in the past, and I think that item 1, above, is the killer. Try it by all means, but experiment with inexpensive capacitors until you decide what you want.