Tyndall has been described as a racial nationalist, and a British nationalist, as well as a fascist, neo-fascist, and a neo-Nazi. Tyndall adhered to neo-Nazism during the 1960s, although from the 1970s onward he increasingly concealed this behind the rhetoric of "British patriotism". According to Thurlow, this was because by this time Tyndall had realised that "open Nazism was counter-productive" to his cause. This was in accordance with a wider trend among Britain's far-right to avoid the term "British fascism", with its electorally unpalatable connotations, and instead refer to "British nationalism" in its public appeals. Sykes stated that Tyndall split with Jordan because—in contrast to the latter's neo-Nazi focus on pan-'Aryan' unity—he "thought more traditionally in terms of British nationalism, the British race and the British Empire". Jordan himself accused Tyndall of being "an extreme Tory imperialist, a John Bull, unable to recognise the call of race beyond Britain's frontiers".