HZ012: The Future I Choose

We're finally getting more lore for Liko and Roy's artifacts, and long with it, a more concrete goal for the both of them. They're currently trying to meet Liko's grandmother to get more information from her, and after that they'll likely go after the rest of the ancient adventurer's partner Pokemon. Speaking of which, I'm very curious about the other four Pokemon that were teased here, especially if there's the possibility of some of these Pokemon being entirely new ones that may appear in Scarlet/Violet's DLC.

Episode seems to show that the types are Dragon, Grass, Rock, Water, Flying, and one other non-explicit type to give themselves wiggle room

There were no hard confirmations regarding their types, just general descriptions of what each Pokemon did. But yeah, I think your predictions are mostly spot-on. Using the image you've given and going around clockwise:

The Pokemon that crossed seas: Most likely Water-type. Kinda looks like a Lapras here, but based on the other images in the episode, I don't think that's quite it.
The Pokemon that raced through the sky: Most likely Flying-type. It has a red bird-like silhouette, which makes me think it might be a Talonflame.
The Pokemon that galloped across the land: Unsure about this one. It looks like a quadruped furry beast with a greyish-brown silhouette. My best bet right now is a Hisuian Arcanine, but I don't think the fur quite matches here. The word "galloped" being used here also makes me think it might be a horse-like Pokemon (Mudsdale?), but again, the fur would be weird here.
The Pokemon that healed wounds: The Arboliva that we've seen in this episode.
The Pokemon that broke through walls: Also unsure about this one. Dragon seems likely, especially since it looks like it has wings, but at the same time it kinda looks like a bird too (no visible arms other than the wings). Not sure if there's any orangish-brown Pokemon that fit the silhouette here.

Putting the lore on the ancient Pokeballs aside, there were some other neat stuff in this episode too. We finally see the old man using a Pokemon, and Quagsire's definitely a fitting partner for him. Nice to finally see Liko's mom too, who seems to be well acquainted with Friede. And finally we're getting a sneak peek at the next Explorers member who will be tailing the crew. All in all, this was a nice episode that's building up for future events.