Oops, you are right. The weirdness starts in 2072:
Asia/Hebron Fri Mar 25 23:59:59 2072 UT = Sat Mar 26 01:59:59 2072 EET isdst=0 gmtoff=7200
Asia/Hebron Sat Mar 26 00:00:00 2072 UT = Sat Mar 26 03:00:00 2072 EEST isdst=1 gmtoff=10800
Asia/Hebron Fri Sep 9 22:59:59 2072 UT = Sat Sep 10 01:59:59 2072 EEST isdst=1 gmtoff=10800
Asia/Hebron Fri Sep 9 23:00:00 2072 UT = Sat Sep 10 01:00:00 2072 EET isdst=0 gmtoff=7200
Asia/Hebron Fri Oct 14 23:59:59 2072 UT = Sat Oct 15 01:59:59 2072 EET isdst=0 gmtoff=7200
Asia/Hebron Sat Oct 15 00:00:00 2072 UT = Sat Oct 15 03:00:00 2072 EEST isdst=1 gmtoff=10800
Asia/Hebron Fri Oct 28 22:59:59 2072 UT = Sat Oct 29 01:59:59 2072 EEST isdst=1 gmtoff=10800
Asia/Hebron Fri Oct 28 23:00:00 2072 UT = Sat Oct 29 01:00:00 2072 EET isdst=0 gmtoff=7200
Asia/Hebron Fri Mar 24 23:59:59 2073 UT = Sat Mar 25 01:59:59 2073 EET isdst=0 gmtoff=7200
Asia/Hebron Sat Mar 25 00:00:00 2073 UT = Sat Mar 25 03:00:00 2073 EEST isdst=1 gmtoff=10800
Asia/Hebron Fri Sep 1 22:59:59 2073 UT = Sat Sep 2 01:59:59 2073 EEST isdst=1 gmtoff=10800
Asia/Hebron Fri Sep 1 23:00:00 2073 UT = Sat Sep 2 01:00:00 2073 EET isdst=0 gmtoff=7200
Asia/Hebron Fri Oct 6 23:59:59 2073 UT = Sat Oct 7 01:59:59 2073 EET isdst=0 gmtoff=7200
Asia/Hebron Sat Oct 7 00:00:00 2073 UT = Sat Oct 7 03:00:00 2073 EEST isdst=1 gmtoff=10800
Asia/Hebron Fri Oct 27 22:59:59 2073 UT = Sat Oct 28 01:59:59 2073 EEST isdst=1 gmtoff=10800
Asia/Hebron Fri Oct 27 23:00:00 2073 UT = Sat Oct 28 01:00:00 2073 EET isdst=0 gmtoff=7200