Not much, but some. Can't say worse or better without extensive tests, but my gut feeling says it's just... different.

Less ambience comes through, into the closed phones.

The sound that plays from the open ones probably sounds more true, because the sound echoed back out from the ears and head just escapes out.

Meanwhile the closed ones might sound a little more "rich" because there would be a slight echo/reverb from the closed phones, as well as closing off most ambient sounds.

Hard to describe these things, unfortunately. But I hope this helps.

If you are in a place with lots of ambient noise, closed ones are definitely recommended. Otherwise it's probably okay with open ones. I have the open ones at home.