The screws will come out eventually......the best option is most likely heat, lighter...or something similar. It doesn't have to glow cherry-red......but hot to the touch should be enough, and you should be able to localize the heat so as not to damage the finish. Its hard to say what was used to "secure" the screws, obviously I don't know the history of this piece but in most cases heat is the option of choice. You can also try some penetrating oil or WD40......let it soak overnight and try to break them free.