The name is also likely a reference to the phrase to "top deck" used in many card games (which means to rely on drawing a good card when a player can draw a single card off the top of their deck). The relic allows the player to potentially top-deck forever, hence an unceasing top.
Weekly Patch 52: Release Date Price Increase
Fixed issue where cards from Unceasing Top were offset on the far left if using a controller.
Weekly Patch 29: TURBO
We added special runs that you can play by entering specific seeds:
INCEPTI0N Start with Unceasing Top _(it's a dream come true!)_
Unceasing Top no longer infinitly spins when you are out of cards (hand/discard/draw pile)
Weekly Patch 23: Testing Continues...
Fixed instance where Unceasing Top wouldn't draw cards.
Weekly Patch 20: Immolate
Unceasing Top relic + Queueing End Turn should now function properly together.
Unceasing Top relic no longer triggers after Statuses and Curses autoplay.
Weekly Patch 19: Seed
End of turn cards (curses & statuses) are no longer "played". Should fix issues with Unceasing Top.
Weekly Patch 6: We're Back!
Unceasing Top now clarifies that it's during your turn only.
Unceasing Top now triggers 0.2 seconds faster.
Cards now teleport instantly (logically, not visually) fixing race conditions with Headbutt and Unceasing Top.