In principle, matrigel tube formation has something to do with cell invasion , including the secretion of MMP and the formation of invapodia. However the transwell migration reflect the overall chemotaxix property that has very little relevence to invapodia. These two assays measure very different aspect of cell motility. Therefore, tube formation has nothing to do with transwell asssay, in principle. Thise people who claimed they have a relationship are simply saying whatever that is convenient
Those so-called "stress fiber" concept does not have a good definition and many so-called stress fiber in many paper has no direct relevance to their study. So don't take it too serious. In my general understanding, NONE of those cellular structure (such as lamelapodia or filopodia or stress fiber) can be clearly defined to have any what-so-ever relationship with tube formation. Many of those papers just related them for the convenience of their own theory which is not necessary the truth