Complicated question. Complicated answer. Put on your thinking cap...
There are different types of MP5 stocks. Some of them have no buffer (A2 stock). Some of them have a rubber "H" buffer (A3).
The problem with the V53, V93, and C93 guns is that they are all being built on the Malaysian kits. These kits have a buffered carrier. The buffered carrier has a little half-moon protrusion on the rear of the right side. So they are designed to have a flat metal plate to run into if they over-travel. An actual HK53 carrier has no metal buffer protruding from the back right side. So they are fairly harmless to buffers in stocks.
I have a V53 with the buffered carrier. Trying to use an actual HK53/93 stock with the little buffer disk in the rear would result in the gun cycling fast (bouncing, I suppose) and it wouldn't run well in FA. So I changed over to an MP5 A2 stock and that fixed the problem. No little plastic buffer for the carrier to bounce off of.
Later, I bought an actual HK53 carrier for about $400 (ouch) and that allows me to use my fancy smancy HK53 stocks, both A2 and A3.
Back to the point... you can very likely use your v53, or V93, or C93 with a standard MP5 A2 stock. Should work just fine. But if you try to use it with an expensive A3 stock with a rubber H buffer... you'll likely rip up the little rubber H buffer.
That's all I got for now.