"If that were the case, then all T-Trades - which some falsely claim are always all dilution - would be included the DAILY rolling chart right alongside existing shares being sold by one person to another.."
EDIT: before reading below...are your time stamps two hours behind on your time and sales?
"t-trades" are simply trade prints that hit the tape outside of normal 9:30am-4:00pm market hours.
If the trade hits the tape inside of market hours...it is not a "t-trade" so I don't really understand what precisely you are getting at with your "screenshots" since you are referring to trades INSIDE of market hours. There are no "t-trades" inside of market hours. The ONLY types of trades inside of market hours that would be comparable to a t-trade is a "avg." price trade or some other "net trade"...but would likely only be discernable if the pps was a 5 or 6 digit print since that would not be an open market trade.
Also, once a trade prints...it's there for eternity. There are ways to correct errors, but the initial print doesn't "disappear".
Anyways, there are a number of ways t-trades can occur.
1) A transaction near the close that doesn't print until after the close.
2) A trade that executes outside of market hours. Although rare, OTCLink now allows those.
3) A net trade hitting the tape after market close, to closeout a set of short sales against a client's block position.
In the case of the OTC...#3 accounts for most t-trades.