You may want to read up on the Nickle Resolution for Canada’s view on granting titles and the royal prerogative.
Spoiler Alert: It’s complicated.
Indeed not. His wife has said she only makes use of the title to get better seats at exclusive restaurants. More on the title: Baron Haden-Guest - Wikipedia
You might start here: Canadian titles debate - Wikipedia
I’d like to add that, historically, such a separation of previously united titles as a result of different rules of succession is not unheard of. A prominent example occurred in 1837 with the Kingdom of Hanover.
Hanover (originally an Electorate, i.e. a principality of the Holy Roman Empire whose ruler was entitled to participate in the imperial elections, then elevated to kingdom in 1814) was in personal union for more than a century: In 1714, its ruler George Louis inherited the British crown (because his mother was a British princess) and became, in Britain, George I, without knowing much English. In 1837, Victoria acceded to the British throne, but Hanoverian law applied different rules of succession which prevented Victoria from also inheriting the throne of Hanover.