In New Zealand, I learned that they are all "canoes." Open boats are "Canadian canoes."
So, those tourist SOTs I rented at beaches in Jamaica and St. Kitts, sure they were canoes, too. Most often when traveling, we are limited to the boats available from local liveries, which most often in places I traveled, have been kayaks.
The one exception for me was the sorely beaten Disco I paddled on the Whanganui River in New Zealand. I also wanted to kayak in the Marlboro Sound area at the north end of New Zealand's South Island. I couldn't find an outfitter there that would rent me a solo, sit-in kayak, so I ended up renting in Wellington before I got on the ferry to the South Island. The ferry was the 600', 22K ton Kaitaki, which carries up to 600 vehicle. So, I loaded the kayak on a cart, filled it with all my camping gear, and pulled it to the ferry terminal, where I stood in line with hundreds of cars and lorries. I felt, shall we say, unique.
Poled a makoro in Botswana's Okevango
Poled a punt on the river Cam in England
Kayaked the Pacific off Lima, Peru
Kayaked the Atlantic off Cape Horn, South Africa
Paddled a raft on the Zambezie river between Zimbabwe and Zambia