I've had Center Ice via DirecTV & Power Play via ESPN+ each season since the media rights deal started -- had DirecTV (w/Center Ice) & ESPN+ both before then, anyway.
I use Center Ice a lot more but it just depends on your setup and ease-of-use, to you.
I have 3 TVs side-by-side-by-side plus my large PC monitor slightly to my left, so 3 screens in front of me and 1 in my peripheral. Being able to quickly change from game-to-game and/or switch what games are on what TVs makes Center Ice much preferred. I just pick the least interesting/'worst' game of the night and stick that on my monitor w/ESPN+.
Only time I use streaming on the TVs with NHL games is for the ESPN+/Hulu exclusives which I use the Hulu app for because it doesn't crash as often as ESPN+, plus you can actually put the game on in advance so it plays when it starts while ESPN+ will still be saying "event hasn't started yet" and the video quality also is seemingly better -- plus easier to pause/RW/FF in the rare cases I need to do that.