I think they changed the policy in 2021. Along with the club track days I have done a few each year with LoT and never had an issue with a standard Caterham track day bar (and no petty strut). My understanding is that the following tracks require a cage "In addition, all Caterham type vehicles must be fitted with a 6 point approved roll-cage at Brands Hatch GP, Bilster Berg, Dijon, Oulton Park, Spa Francorchamps & Zandvoort." Also note that tuition is not included for with LoT - you pay for that separately if you want it.