That makes sense. The caliber of tank armament is on par with torpedo boats and destroyers, not battleships and cruisers.
Shortening to lander might get a bit confusing when space travel is developed though. The Lunar lander could be mistaken for a tank, especially in translation.
Land monitor/fortress: A super heavy tank for defending key points.
Land battleship/dreadnought: A heavy tank capable of defeating all others.
Land battlecruiser: Between the land cruiser and land battleship, trades armor for speed.
Land cruiser: A medium tank usable for many roles.
Land destroyer: A tank destroyer used to overwhelm enemy tanks.
Land torpedo: An armored car, so named because of the high speeds and light armor/armament of torpedo boats.
Land layer: A vehicle used for mine laying.
Land sweeper: A vehicle used for mine clearing.
You are a genius, Delta Force.
I think naval naming of tanks would have a huge and potentially very positive effect on tank development. People would naturally think of diversifying the types of tanks according to their naval counterparts, therefore potentially butterflying away the post WWI stagnation of tank.
I think that naming them after the roles of traditional cavalry units (lancers, hussars, cuirassiers, etc.) could be interesting, but I don't know enough what those roles were and how they could translate to armored vehicle roles.
I don't think cavalry roles matches tank roles perfectly, but let me give it a try:
Cuirassier-wagons:Heavy tanks used to overcome permanent fortifications, bunkers, et cetera, in the same way cuirassiers were frequently used for siege. Later used for all heavy tanks.
Lancer-wagons: Basically a medium tank, originally designed to break through less-permanent infantry positions like trenches.
Hussar-wagon: a fast, highly maneuverable light tank, either wheeled or tracked. Originally designed to achieve strategic maneuverability or exploit breached lines.
Mechanized Archer: Tank Destroyers, developed alone the lines of Horse Archers.
Chasseur-wagons: Tankettes. Mainly used for reconnaissance and harassment.
Dragoon-wagons: Armored Personnel Carriers.