Keithwms is probably right.
The XA2 has a tessar type lens--not "strange" at all, but the most popular lens design in the history of photography--which should be fairly contrasty. I haven't owned an XA series camera myself, but hunting around for comments there is some sentiment that the XA2 tessar-type seems sharper than the fancier 6-element XA lens, which isn't surprising. With the same coatings, a tessar will often look contrastier than a plasmat or planar type, but it won't be as sharp in the corners. For some kinds of photography (standard types of portraiture, for example), sharp in the center and soft in the corners is just fine.
Also, you can't really compare EI 800 on an XA2 to EI1250 on your SLR, unless you know that the shutters are both accurate--and even then, it's hard to say what that means when the XA2 has a leaf shutter and the SLR has a focal plane shutter--and the meters would have to work in the same way, which they don't. Beyond being within a stop of each other, I wouldn't really expect to be able to make the kind of critical comparison you're making here.
You don't mention what film you're using, but it is likely that by giving more exposure on the XA2, you're pushing the image to a steeper part of the curve, and that is giving you more contrast. Put another way, maybe at 1250, more of the shadows are resting on the toe of the film's characteristic curve, so the highlights aren't very high up on the curve, and if you exposed at 800, you would get more tonal separation throughout the tonal range.