Chekov, while introduced second season, is considered a core TOS character because once introduced he 1) gets screen credit as a regular and shows up in every episode, even if only with a line or two and 2) shows up beyond cameo (see Rand, Chapel) in all six of the pure TOS movies.
Rand disappeared after the first 13 episodes (apparently due to problems the actress was having) and Chapel was a recurring character. While both show up in the films, its in cameo style roles and they're not portrayed as part of the core "We're getting the band back together" group.
Although personally I could've lived with him not showing up until later NuTrek films. But then, I have problems with the entire command crew save Spock of Starfleet's flagship being made up of barely graduated if that cadets with maybe 100 hours of actual mission experience between the lot of them (no, not the emergency situation, the end of the film where they all jump direct from academy to captain and command crew).
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Rand disappeared after the first 13 episodes (apparently due to problems the actress was having) and Chapel was a recurring character. While both show up in the films, its in cameo style roles and they're not portrayed as part of the core "We're getting the band back together" group.
Although personally I could've lived with him not showing up until later NuTrek films. But then, I have problems with the entire command crew save Spock of Starfleet's flagship being made up of barely graduated if that cadets with maybe 100 hours of actual mission experience between the lot of them (no, not the emergency situation, the end of the film where they all jump direct from academy to captain and command crew).