Interesting to hear some real life experiences.
I am a big Mazda fan. I see them as delivering great cars for good prices and they manage to make interesting cars that are fun to drive. Not every model is a hit, but it is good that there is a car maker which dares to be different.
On the engine side there was of course the rotary engines and now the is Skyactive-X (plus some of the other Skyactive elements which are less substantial, but still clever). I see the X as Mazda wanting to make non turbo cars for the sake of smoother power delivery and lower maintenance costs (no turbo = no turbo failures), but you are not alone in having a desire for essentially a Mazdaspeed model of the 3 - the turbo one get in the US is not that.
Unfortunately I think Mazda are having to focus on the mostly mainstream buyers, the exception of course being their MX-5. Simply put Mazda is not big enough to do it all and currently I imagine they have to put a lot in towards going electric so less money to also do the more niche things.
In the US Mazda and Toyota has build a big production plant together, to me that is a sign that the two companies are sharing stuff. I imagine that Toyota gets to use some of the Skyactive things and maybe benefit from Mazda knowledge on how to make cars fun, with Mazda then getting their hands on Toyota entertainment systems and more importantly hybrid and electric tech.
Maybe in the future there will be a 2.5l or even a 3.0l Skyactive-X engine, a turbo one I think is unlikely as I do not see the X combustion thing working with a turbo - then again Mazda have engine people that do magic so who knows.
Another possible interesting thing could be a hybrid with a Rotary engine not connected to the wheels, but purely there to drive a generator. I imagine that a Rotary running at a constant RPM could be very efficient and on the same time it is a light engine, both good things for a hybrid system.