I dont see why not an LST or why not let a Tiger come off it.
Point 1- Tanks woudlnt be firing from LTS's
Point 2 - Not all shore bases have spawns from other bases
Point 3- As for the Tiger. someone will just up an IL2 with its Warthog like depleted uranium cannons and just knock it out anyway just like they do now when it spawns in from any other spawn point.
The Tiger would not be a game changer.
but if you wanted to exclude the Tiger. that would be ok on different grounds.
Im not sure it would fit in an LST
Tiger
Width with wide combat track . . . . 12 feet 3 inches
Width with narrow transport track . . . .10 feet 4 inches.
http://www.lonesentry.com/tm_tigertank/index.htmlSherman It is 8 ft 7 in wide
http://www.dimensionsguide.com/m4-sherman-dimensions/