With high resolution phones these days, DPI does matter. Going by the resolution alone and guessing does not cut it. My 4.65" phone has a 1280x720 resolution, while my 10" tablet has a 1280x800 resolution. The screen of the tablet is many times larger than the phone, but only has 80 more horizontal lines of vertical resolution. Say my game has a 10x10 grid of squares. On the tablet, it would be quite easy to select the proper square as they are of a decent size. On the phone though, they are quite tiny and it would be very easy for the user to click on the wrong square.
Here is an example illustration of the difference between the phone and tablet. Slightly different resolutions, but extremely different DPIs. Without the ability to tell the density, I have no idea how the user's experience will be. I would need to give them some option of phone vs tablet to allow for different assets to be used or something similar.

Things such as menu buttons can look quite silly too. Sure, I want the buttons to be at a pretty big size relative to the screen on a phone, but on a tablet they would look comically huge. Instead, I'd want some lower res buttons centered down near the bottom with the background of my title screen visible in all its glory. Instead, I'd have huge buttons blocking the view when it would be completely unnecessary.
Also, even just plain old text can be a concern. What is a good, legible size on a phone would be oversized on a tablet with a lower DPI.