Sorry to be boring (again!) but I think that it is quite important to know what it is that is being discussed prior to potential demolition, no matter what your feelings are about it.
This photo is of the back wall of the original pub, which - unless my internal mapping-system is completely haywire - is what that 'pillar' is holding up. Note the late 17th century casement windows set into the rubble-work. There is an identical window at the same level, behind the new sign on the gable-end which has also been filled-in. You can also see a door-opening beneath that sign which has been blocked with brick, and in the kitchen behind it there is an alcove which formed the entrance. This door must have been serviced by an external staircase, as I don't think that there was ever any extensions going up that high. You can see such a staircase in the much older George Inn at Norton St Philip.
This bit of the old wall is in dire need of conservation, because the Victorian coal-smoke which has blackened it is turning acidic, and the effects of this can be seen where the joints of the rubble are decaying and showing up as whitish.
There are two ways of looking at this - that things survive much longer if they are totally ignored (such as the Saxon Church in Bradford on Avon, which was also surrounded with later extensions), or that giving them the right sort of attention also helps to preserve them. This bit of wall needs water-cleaning and re-pointing, but I am sure that there are more important things to do and that a year or two more of being left as it is won't do too much harm.
Having said all that, the Bell is world-renowned for its live music, so it really is a question of priorities and compromise.