> You got Trump and Biden as a direct result of term limits.
The US only enacted term limits in 1951. Before that time, only two presidents had attempted to seek third terms (another two attempted but failed to secure even a nomination by a political party), and only one was successful.
And, quite frankly, the only president since the 22nd amendment who I could see wanting to run for a third term is Trump, who does seem to be campaigning for one anyways despite being constitutionally barred from it.