Turns out the Innearctive SDK didn't try to access any personal data - the prompt seems to be shown for any application that connects to internet via HTTP and asks for the response code. It can be reproduced as follows:
Emulator version: 1.1316.1, Date: 2013-04-29 16:50:11. According to some forum posts, there's a newer version of the emulator available. I just ran SDK updater a few days ago, when it notified of an update, but seems like the emulator didn't get updated.
// The following line shows the send and receive data prompt
HttpConnection conn = (HttpConnection)Connector.open("http://www.google.com", Connector.READ_WRITE);
// The following line shows the "read personal data" prompt
int responseCode = conn.getResponseCode();