My question is: I know that by today's standards, your SU-Z22 is not a powerful amp, but does it sound under powered to you? Does it seem to struggle to drive your speakers?
If the sensitivity of the SB-G700s is 97 dB as indicated on the Hi-Fi Engine site, I doubt that the amp would be under powered, unless you like your music rather loud and your listening position from them exceeds 12 feet.
However, I doubt that their sensitivity is that high. I suspect that it is closer to 87 dB. The higher sensitivity is mostly found on pro audio speakers which have to project sound in larger rooms and venues.
What I suggest is that, if you have a friend who has a more powerful amp, or have access to a store from which you could borrow a more powerful amp, such as a Yamaha A-S501 integrated amp, you could see for yourself if you can hear a real improvement over what you have.