As you say, if the Bucs took the timeout after 1st down, it accomplishes nothing because the Lions still run out the clock. So not taking it doesn't amount to 'signaling' they aren't going to take it at all, it simply recognizes that fact. Once the Lions opened the door to using the timeout to force a 4th down play, that changed the situation, and the Bucs should have taken it.
Exactly. This has been my point all along and why I really don't understand where there would be any backlash (other than maybe Lion fans) for calling the timeout. The situation changed. Now is the time to call a timeout because of what changed to now give you a chance to get the ball back.
But the point is the situation only changed because the Lions thought that the Bucs had signaled an unwritten sportsmanship agreement that they were going to let the clock run out. IE instead of everyone standing around under center until the clock runs down to 1 three times, they could snap it casually and everyone could jog off the field with 30 seconds left or whatever as the clock ticks down.
I agree Bowles should have said "eff it" and called the timeout, but the sole and only reason the Lions didn't milk the clock all the way down is because they were operating under the assumption that Bowles had conceded and was letting everyone take the quickest/easiest path back to the locker room. It's not like Detroit suddenly forgot what the playclock is.
This isn't anywhere near the first time this has happened. Just the first time on national TV in the playoffs with everyone paying attention.