I may be in the minority, but I've never cared for 5e's Counterspell; I feel it bogs down the game and adds a sub-game that is not needed. I preferred the previous edition's method of readying a Dispel Magic against an enemies possible spell attack.
Having said that, It seems obvious to me that the intention of the Counterspell rules is to have some risk and uncertainty involved. Giving players the exact spell and level being used against them makes the choice of counterspell somewhat of a no brainer: "Oh, he's casting Frost Fingers, no problem!" Or, "He's busting out Disintegrate, better counterspell, with the right level." As it is, Abjurers and Bards who have picked up the spell via Magical Secrets rarely need to invest in higher level spell slots due to advantage those classes have on the check.
Having said that, It seems obvious to me that the intention of the Counterspell rules is to have some risk and uncertainty involved. Giving players the exact spell and level being used against them makes the choice of counterspell somewhat of a no brainer: "Oh, he's casting Frost Fingers, no problem!" Or, "He's busting out Disintegrate, better counterspell, with the right level." As it is, Abjurers and Bards who have picked up the spell via Magical Secrets rarely need to invest in higher level spell slots due to advantage those classes have on the check.