Yes you will miss something unless your DSP can take the 0.1 channel and "phantom" or mix the signal with your front L & R channels. You will also might lose the ability to use effective notch filtering on your extreme LF base...which almost all rooms require.
Some DSP's can solve this for you by offering separate bass management features for both two channel as well as handling 5.1 and other digital formats (like Anthem)...this often requires A to D conversion of analog stereo inputs. If you can't hear the difference from this additional A to D processing step (like most people) but you can hear the difference in improvements from effetcive bass management adjusted for room (like everyone)....then go fo this solution!
Some DSP's can solve this for you by offering separate bass management features for both two channel as well as handling 5.1 and other digital formats (like Anthem)...this often requires A to D conversion of analog stereo inputs. If you can't hear the difference from this additional A to D processing step (like most people) but you can hear the difference in improvements from effetcive bass management adjusted for room (like everyone)....then go fo this solution!