I had a Vela Shape 3 session, could they break the inner tissue, causing more flaccidity on the long run?

If the velashape is used properly it helps the tissue.  It has even fixed botched surgical results that I have been referred.  Best, Dr. Emer.

The vella shape machine does not do this. It tightens the skin and removes fat as well. You need to continue with treatments as well. We have the new vella 3 machine that works really well and works for cellulite  as well.

I really don't know what that "someone" meant when they told you about injury to "inner tissue". Where they trying to sell you a different treatment? Also, doctors don't generally do the Velashaoe treatments as they are done by the estheticians and nurses. Did you have bruising after treatment? the entire point of Velashape is to cause enough thermal trauma in deep tissue to stimulate collage production to tighten and lift the overlying skin.