carbonated "liquid" also aka "water" - only holds the gas - aka CO2 - under pressure and at low temp.
any system with a volume of liquid/water 'in the pipe' is going to suffer burps and belches - because all the fluid past the "carbonation" point will give up the CO2. the liquid warms, the pressure decreases, the CO2 comes out of solution.
keeping the carbonated liquid cold and under pressure up to the dispensing point is . . . a challenge in a residential and/or DIY environment.
minimal pipe volume from carbonation "chamber" to tap will certainly help - but you may have to accept burps and belches as the warmed, low pressure fluid is 'flushed'' out of the system.