Here’s A ‘What If’

[Rhizomorph13]

That's an interesting, if pointless, question.
I would assume that he would get all the perks and the historic mention although it would always be accompanied by the footnote noting the shortness of his service.

https://en.wikipedia.org/wiki/William_Henry_Harrison

William Henry Harrison served very shortly as president although his term was cut short by his death so the question about perks stopped right at the end of his life. 32 days in office wow.

Didn't he give a three hour speech in shitty weather at his augural?

Wiki says nearly two but then he rode around the town so who knows how long that took?

"He took the oath of office on Thursday, March 4, 1841, a cold and wet day.[103] He braved the cold weather and chose not to wear an overcoat or a hat, rode on horseback to the ceremony rather than in the closed carriage that had been offered him, and delivered the longest inaugural address in American history[103] at 8,445 words. It took him nearly two hours to read, although his friend and fellow Whig Daniel Webster had edited it for length. He became the first head of state to have his photograph taken, then rode through the streets in the inaugural parade[104] and attended three inaugural balls that evening,[105] including one at Carusi's Saloon entitled the "Tippecanoe" ball with 1,000 guests who had paid $10 per person (equal to $297 in 2020).[106]"