Ships at 60k tons would be HUGE. Depends on how you are going to miniature your equipment.
Sea Control is to control the area around a fleet or you, and being a LHD as you claim, you are operating it statically as you can't launch anything if your LHD is moving, you can't launch/receive helicopter or LCAC in well deck when you are doing 30 knots.
Which mean if and when you use a LHD group, you would need to either have escort to try to protect the ship, but without sea control and sea command ability, you cannot screen out threats that's coming to do harm on the ship. It would have to be rely on a detect-evade-intercept cycle to control the area around you ship, and this particular LHD does not have fighter on board, unless you are claiming those drone is going to do what those Alien drone does in independence day and start shooting green shit out and downing F-18 or incoming missile, that particular ship cannot perform the "Detect-Evade-Intercept" cycle and have to rely on other ship to do it for them when they are forward deploy. Which mean whoever is doing that would also have to remain static, and with this means a 60k ton ship sitting offshore dragging other asset with it, that's -ve efficiency in war
That is why US LHA and LHD have Jump Jet, to screen out threat around the area and control the sea, and that's sea control.
And as I said, you can do whatever you want, if you ask "Can China build a 60K tons LHD" sure, why not? You can of course build it, it's not some magical limit stopping the Chinese to build a particular ship tonnes class. I mean, it's your money. You are paying for it.