If it helps you any with USN types, Wurger's supplied photos are . . .
The first photo shows a TBM with wings folded
The second photo shows same
The third, an SB2C-4
Fourth, a wrecked F4U-1
Fifth, the shot-up tail end of an F4U
Sixth photo shows an F6F-3 (note curiously the plain star and circle national insignia on underside of right wing)
Seventh photo shows an F4U-1D and because of the F6Fs in the background is WW2 vintage
Something to remember, when jeeps first showed up on carrier decks they were, ahhh, borrowed, yeah, that the word, borrowed. Later, when their efficacy was noted, they were issued.
All of the markings shown in the above photos one through six are also WW2 vintage.
Syd Bottomley operated, land, launch, repeat, a PBJ (the USN B-25) off USS Shangri-La in November 1944. Charlie Lane in an F7F got the same treatment that day, not to mention Bob Elder in a modified P-51D. None of any of the photos I've seen of these events show any jeeps involved or even in the background. There was only one of these planes being operated at a time, my suspicion is that for at least Bottomley's PBJ and Lane's F7F they kept the deck as clear as possible. I've read that the F7F and the P-51 were first to land and were then struck below while the PBJ went through its evolutions. Came up afterwards for their turns at bat. Jeeps would have been handy to move them around on the hanger deck.
Bob Elder was a dive bomber pilot at Coral Sea and Syd Bottomley and Charlie Lane were SBD drivers at Midway.
I don't believe the three wheeled jeeps came out until after the war and were special built under contract. Here
3 wheeled | eWillys you can see some with F9F jets. From what I see these three wheelers were slightly shorter that the four wheeled standard.