My guess would be that it would not work. Wine only implements some of the XP functionality thus far, and driver level logic seems like a relatively low priority. On the other hand, as posted elsewhere in these forums, I have been able to get my Presonus FireWire device running in Jack, with only having to restart it say every other day or so. I have tested it with audio devices. When running Reaper, Jack Control had to be run as root.
On the other hand, it would be great to know that ASIO4ALL ran under Wine. Since you are the one who wants to know, why don't you just try it?