Quipping "it's just a trainer" misses the point in this case. It was a trainer designed to emulate the road runner interceptors of the century series, not anything else with more mild manners and the wing area for it. All 4th gen follow on fighters are easier to fly; they have to be, otherwise most pilots couldn't run sensors/fire single pilot. Or alternatively, crash it on landing after a successful employment sortie.
IOW, unless that experience was a tour in f104s or TPS, they came back as instructors facing the same problems as anybody else without prior t38 IP experience. In the end this question is moot and a solution looking for a problem. Northrop long ago fixed the issue by designing a gear that could handle crabbed touchdowns. Nobody is getting ego points for trying to wing low land a 38, though you will probably get a commander directed Q3 and a formal reprimand for fancying yourself a chuck Yeager by ad hoc'ing landing procedures in a non emergency.
Back to the trainer quip, an F-5 would be a safety margin upgrade for us, and easier to fly to boot. We were losing tons of people between the 60s and early 80s to the T38, both in lives and program attrition. People who would have otherwise been successful for an entire flying career in crew airplanes. The introduction of SUPT and the T1 was a godsend for AF flight training.
These days the air force has for a while realized that we spend a ton of time teaching students how not to get killed in a t-38, and less time developing the fighter fundamentals that are more germane to their B course follow on. Additionally the t38 is a poor 4th gen sensors integration and BFM emulator, but that has long been stipulated. As such, the t-7 will be a relative putty cat to fly in the transition phase, and most of the training hours will be spent teaching to the employment basics, which is a win win for the AF, and my wife's emotional sanity lol.