I think that all filters, such as “&without_taxon_id=47122”, should be available in all pages (wherever filtering is relevant).
As long as it will not be the case, there will be requests to add filters.
(See for instance the new Life List discussion).
For convenience, add a Filters button in all pages (wherever filtering is relevant), always with all options.
Such an homogeneity across pages would also contribute to simplicity of use.
It would be incentive and we would have just to learn to use one filtering tool.