Are there other "uptight" canon arguments among Whovians?
Where to start?.....
Doctor Who does not have any official statement on Canon ( well beyond the statement that the BBC produced Games produced to tie in with season five were canon)
So fans have debated what constitutes canon back and forth.
In the Early nineties, the Doctor Who New adventures were published by Virgin books, and touted as the official continuation of the series, fully authorised and and approved, Following the TV movie the BBC, seeing a market took back the books and published their own official BBC Doctor Who novels these novels largely were written by the same authors and shared continuity between the two series.
Then along came the Audios that you mentioned and at one point they were implied to be in a separate continuity to the competing books ( with regard to the then current Eighth Doctor at the very least).
With the new series, fans argue endlessly about the canon status of the books and the Audios - as well as yes, the charity skits that have been produced for CIN etc. Hilariously arguments based on chronology or continuity fall flat, since there is no one criteria that fits anything neatly.
So there are those who espouse only the TV series ( with problems due to the Charity skits and the aforementioned games - which had continuity issues with the series as well) Those who champion the books and or the audios ( a rallying cry of "ITs All Canon" (leading to arguments about continuity problems galore, not least that the Story Human nature would have occured twice with two different Doctors )
Also those that dispute the TV Movie ( but not the eighth Doctor himself ), or indeed the new series.
Some perhaps savvier fans have taken to the position "there is no Canon"
Star Trek fans have it easy compared to that, with a body of work that is considered official. As far as I can see canon wise the only real points of contention are the tie-ins to the Abramverse and the Animated Series, and even with the Animated series despite Gene Roddenbury denouncing it ( as he did for STV and STIV though no one takes that seriously) It certainly seems to be canon with it being referenced in Enteprise ( and with more to follow if they had carried on allegedly).
BTW if you saw the Tennant story Utopia, in Season 3 THAT was where Jacobi played the Master... for about five minutes before regenerating into John Simm.