There is no angst from my end. The comments of yours I was...

There is no angst from my end.

The comments of yours I was reacting to were "there is still (a) possibility that any acceptances will lapse if the t/o bid fails. I.e. the acceptances will lapse and no transactions will occur".

Those who had sent back a signed acceptance form had entered into a contract with T2. Those shares could not be taken by T2 until the bid conditions had been met.
The June 22 announcement splits shareholders in to 2 groups. Those who had accepted and those who had not.
Part 1/Paragraph 1 relates to holders who had accepted the bid.
The bidder declared those "contracts" free from conditions, meaning they could claim ownership of those shares and pay the $1 per share out to the holder
Part2/Paragraph 2 related to every shareholder who had not accepted the bid.

One of my previous posts here talks about my interpretation of the difference between "unconditional" and "free from conditions".