I've never liked "away team", They aren't playing baseball"Away team" in a TOS setting bugs me to no end.
Really? Seems more accurate, as 'landing party' implies beaming down to a planet surface. If you're going over to another ship, you're not landing, are you?
srsly, I can understand why TOS purists wouldn't want terms from another series infesting their show, but does it really matter? Landing party, away team, it's all the same in the end. And like the whole "Enterprise / the Enterprise" thing, is probably just personal preference, in-universe.
Did TOS ever use "landing party" for missions to other ships? That's a boarding party.
In "Space Seed," the captain said, "The bridge is yours, Mister Spock. Care to join the landing party, Doctor?"
In "The Doomsday Machine," a damage control party beams over to Constellation; later Spock orders the transporter room "to beam landing party aboard."
Neither "The Omega Glory" nor "The Tholian Web" specifically refer to the party teaming together to go away to either the Exeter or Defiant.
ETA: I noticed that Kirk refers to "the" landing party, but Spock omits the article when he said "beam landing party aboard." Efficiency? Consistency? In any event, Captains April and Merrick would have called it a recon party. Oh, the Star Trek that could have been. If only, if only....