I do the T1's first, then my next batch is T2T3, and then my final batch is T1AT2AT3A.
I do go through the effort to use scrapebox with public proxies to sort those that are already indexed vs. those that are not indexed. I only want to put the non-indexed ones through GSA Indexer.
Make no mistake - it can take a while - weeks and months. Like @seagul, I always wait a few weeks. Some will get indexed on their own, so I think it is more efficient to let Google catch up first, and then focus on the hard-to-index links.