I dont know for sure, but I dont think thats accurate. That's a special situation covered under the standard MLB player's contract.
In virtually every employment situation, contracts must be honored no matter if the fired employee accepts further employment.
We dont know when the Twins renewed his contract. We only know when the beat reporter's report came out.
For that matter, AFAIN the Twins haven't confirmed (or denied) the report.
I'd imagine Tingler would finish out the season.
The current Twins FO is loath to make any kind of bold move. No way they hire anyone before the offseason.
MLB has announced that "in an effort to increase efficiency, and allow maximum fan viewing, "No Hitter In Progress" alerts for future Twins games will be issued 1 hour prior to first pitch, weather permitting."
Whether or not it "works" isn't the point.
Its just bad management. And it's a recurring theme.
Driving drunk and getting home safe doesn't make it a good decision.