Hi
It gets a bit murky when referring to broad genres, but that description would probably point people more in the general direction than other identifiers might. The tricky part is that TPS aren't particularly known for many of the hallmarks of Metroid, as noted by Hyrulean:
As it stands, the reference to Vanquish was meant to indicate some level of fluid speed and mobility (this is known for the sliding mechanic, especially), which isn't usually notable in TPS. Now, the overall gameplay loop and world design would have to remain Metroid, and Vanquish doesn't really fit any of that.
This is really a fail on my part, using an example to point toward a nebulous concept, much more developed in my head but which might be a bit much to deconstruct. I know better than that and yet still fell into it. My apologies, all.
To try to fix that a bit, start with the basic world, abilities, and design of Metroid. Keep Samus fast, and allow her to use different abilities to augment that speed and create further agility and mobility. Hyrulean is right to note that good platforming is important.