Baze and Shore are pretty equivalent in terms of eHP at Gear XI. It really depends on the team and mix. Does Baze work by himself, oh my he does. With Shore you get crit immunity, retaunt cool down reduction on debuff and health gain for others. Plus with omega some TM for Empire. Baze auto taunts to start of next turn on a kill, aoe debuffs and hits like a small truck on his second debuff.
Thing often overlooked is 25% health based damage on aoe on Baze. That hurts! I've run both and together. Today I use Baze, but when I run an Empire mix I need Shore as well. You can see the Gear XI stats on my inventory. Shore is 5* but the extra 2 don't add much health.
https://swgoh.gg/u/xio/