I've just checked your possible errors and am unable to replicate any of these behaviors. Any specific information on steps to reproduce would be helpful.
Open Ableton Live 9.7.2 (I am on PC but don't see why that would make a difference)
Slave T to Ableton @130 via USB
Make a 4/4 beat with a bassline on A1 also I have snare and clap on A2 (clap) and A5(snare).
Make a pattern in Abelton with hats on the 16ths (D#1) and 8ths (C#1) in Abelton, kick 4/4 (C1) so they trigger pads 10,11 and 12. Make sure all 3 trigger on the start of each bar.
Start Abelton running sending the midi data to Tempest.
Go into beats mode and copy beats A1 to A2 and A3.
Change beat on a quantise of END or BEAT.
Hear the first notes in the new beat skip or are played twice whenever i you change beats. (midi data only those notes programmed in the sequencer play properly)
I recorded what is happening when I do this and loaded it to soundcloud
This is the pattern playing with no beat change.
https://soundcloud.com/robert-tree-hardy/no-changeThis is the exact same thing only I changed the beat at bar 5. The new beat is a direct copy of the original beat the only difference between these two recording is as i said, a beat change.
https://soundcloud.com/robert-tree-hardy/beat-change-bar-5-tempest-beta-skipWhen i run the whole thing from the Tempest it plays perfectly, when i run the whole thing without changing beats it plays perfectly, only when i change beat does it skip/jump whatever, ive just tried it again with 100% recreation rate at my end.