Was Fisher's disapproval of Barnard's test really "specious", as mentioned on Wikipedia?

Question

The Wikipedia article on Barnard's test currently says:

While first published in 1945 by G.A. Barnard, the test did not gain popularity due to the computational difficulty of calculating the p value and Fisher’s specious disapproval.

Following some comments under this other question, I'm wondering if the wikipedia article is incorrect relative to this "Fisher's specious disapproval".

See here for an overview of the issues involved, & Choi et al. (2015) "Elucidating the Foundations of Statistical Inference with 2 x 2 Tables", PLoS ONE, 10, 4 for a detailed account of them. Fisher's objections oughtn't to be dismissed as "specious", whether you agree with them or not. (Barnard came to agree with them: Barnard (1949), "Statistical Inference", J.R.Stat.Soc. B, 11, 2.) — Scortchi - Reinstate Monica, Nov 28 '23 at 14:29
The Wikipedia entry also states: "Under specious pressure from Fisher, Barnard retracted his test in a published paper ...." The word 'specious' was added in October 2021 by a nameless contributor. How insulting to Barnard to imply that a highly-respected statistician like Barnard would reject his own published test without good reason. It's clear he preferred Fisher's conditional test to his own test because conditioning provided a more relevant reference set. — Graham Bornholt, Nov 28 '23 at 23:12

Was Fisher's disapproval of Barnard's test really "specious", as mentioned on Wikipedia?

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