You've asked a good question..... But I'm not sure the blocker bill is used in todays sessions but rather it's a tradition from the past that is carried forwarded to get 2/3rds agreement to bring any bill forward. I maybe wrong on that part.....
As regards the 1st special session I'm not sure how it could have been placed by the Lt. Gov as the SS are for specified legislative issues only and nothing else can be considered. The Lt. Gov. as I understand it agreed to keep the tradition of the 2/3rds agreement for the 1st SS, but I'm not sure there was ever a blocker bill.....
If the blocker bills exist I'd appreciate someone giving me the Number of it so I could go look it up. I think SB1 this past regular session was the budget
I think SB1 this past regular session was the budget According to the rules of the Texas Senate, bills go on the calendar in the order they come out of committee. So no matter what the bill number is, they make sure the blocker bill is the first out of committee.
You raise an interesting point about blocker bills and special sessions, though. As you point out they can only consider the issues which the governor has placed on the agenda for a special session.