To really answer your question, no, photos that have uploaded but are not part of a published synth will not be visible.
99.999% of the time this is not an issue, however, as the 'Publishing Synth' stage is usually next to instantaneous when the files have finished uploading.
The moral of the story is simply to do exactly as you did before. Put the files in the synther, give the synth a title, optionally choose private or public status and choose your photo license, and click [Synth].
This time everything should work as intended and when you visit your profile, you should see all of your successfully completed synths to date.