The game that I'm working on is nearing alpha release. Aside from cementing a couple of features and smoothing some rough edges, there's one thing that my game really needs: a title. I have a fairly clear idea of what the game is about, and a solid understanding of the mechanics at play, but I don't know how to turn all of that into a name.
So my question might be best described as this: Do you consider the name of a game to be important to the game's overall design?
Perhaps I should give an example? Two games that I have spent very little time with (so I'm sorry for how incorrect I may be) but seem to be mechanically similar but with dramatically different name concepts are Enter the Gungeon and Nuclear Throne. Nuclear Throne suggests environment and might prepare the player for a particular mechanic (scarcity of resources, perhaps, associated with a peri- or post-apocalyptic setting). Enter the Gungeon, however, is a play on words that sets the player up for a game that takes itself less seriously than a name that conveyed similar information about the game (about everything, enemies included, being guns or parts of guns or ammo) such as Shooting Gallery might convey but without the slightly silly tone.
Also edited for clarity.