This isn't a record, this is trivia.
A record is something that people actually care about like...most career home runs, lowest ERA in a season, most stolen bases in a season, consecutive games played, etc.
No one ever cared about what team has struck out 13+ times for consecutive games. Sure, I guess it's a "record" of sorts but it's an arbitrary record with arbitrary parameters.
Now if you want to have a conversation about bat-to-ball skills and OBP skills that are lacking in this lineup, that's a better conversation to have.