This is not the case. Firstly usually two touch and goes are done for first ever deck landings then the arrests/cats follow. It is a big deal to put the hook down and then arrest and catapult for the first time. The touch and goes are for the pilot to get a look at the deck for the first time and LSO to look at the student doing that safely.
Good story here by a now 'old/bold' NeptunusLex (just now getting back to civvie/military aviation after retiring as a Captain USN with time at 'TopGun' & as LSO):First CQ
"Hook up for two touch and goes..." & "...Then the order from the Air Boss: "925, hook down." I lowered the tailhook, and started my third approach...."
"...Three more landings just like that and I would be done, a qual.
I don't remember any of them. It is all a blur of violence and noise.
But that was the point of all the training at the field, the simulators, lectures and flights. They taught us to be predictable, to listen to the LSO's unhesitatingly, to operate a high performance jet on an almost instinctual level, on brain stem power.
But I do remember hearing four short words just after my last cat shot, and my "bingo" to the beach: "925 you're a qual."
No sweeter words were ever heard."http://homepage.mac.com/lexl/iblog/C744401703/E226842115/index.html
___________________Becoming a Tail-Hooker
Apr 1, 2011 By Fred George | San Diego http://www.aviationweek.com/aw/generic/story.jsp?id=news/awst/2011/04/04/AW_04_04_2011_p86-303846.xml&headline=Becoming
"...Eight seconds after the lead aircraft broke left, Thompson also snapped his Goshawk into the overhead break. He extended landing gear and flaps, and led down to 600 ft. on the downwind leg. But he left his tail hook retracted. The first two landings on the Nimitz would be touch-and-goes to give the landing signal officer (LSO or “paddles”) final checks of Thompson’s flying skills before OK’ing his first attempt at an arrested landing...."
"...After the second touch-and-go pass, he heard, “Three two zero. Hook down next pass,”
from the LSO, confirming Thompson was ready for his first “trap” on the boat...."