Some reserves in the side:
* indeed, do not train on your own plane. As explained, it is economically a loose/loose formula - except perhaps if you can find a willing free-lance instructor; plus training tends to be harder on a plane than you want on your own pride and beauty; especially on the landing gear and on the engine.
* there are a couple of Jabiru engines on my homefield, and they have no more trouble than others; but they do seem to require a lot of maintenance, ISTR setting the valve clearances every 50 hours or so, for one example. Also, I hear rumours that the 6-cylinder J3300 are more reliable than the smaller J2200.
* nothing wrong with two-stroke engines indeed but they handle differently. No long warm-up at idle, for example: they depend on fuel flow for lubrication. Start engine, 1-2-3 and off into the skies you go! There are however some fields that refuse them, at least here in BE, in an effort to appear "eco-friendly" - quite useless imho.
* generally speaking, low wingers are more "sporty", making them require more precise handling; it should be easy to go back from training on such a plane to a less demanding (but also less performant) high-winger.