Ok, as a layman I think it turns on the context of the timing of when this condition is met. Exactly what is meant by:
prior to the presentation of the name of that candidate for nomination
and
...affirmative written support of the required number of permanently seated delegates from each of the eight (8) or more states shall have been submitted to the secretary of the convention not later than one (1) hour prior to the placing of the names of candidates for nomination pursuant to this rule and the established order of business.”
If this submission can happen before each round of voting or whether it must happen before any rounds of voting is crucial here.
If you read the rules in their entirety, the answer is not specified. I searched carefully for any hint. To allow new nominations after each round of voting would not be usual, but it would also not be an explicit violation of a written rule in the Rules I posted. In short, I expect new nominations unless the newly approved rules specifically prohibit that option. For that reason, conservatives need as many anti-establishment delegates as possible. It's nice if they are bound to Trump, but it's even more important that they be loyal.