Thank you for the link. I don't think you are right about SSKJ explicitly noting schwas. For example exactly the entry for dober  doesn't contain a schwa.
No but it is implied because the e drops in the inflected forms. It is targeted towards Slovenes who presumably are aware that only schwa drops in this manner, but true e will stay.
Although I don't know if schwa e always drops in inflected form, it sounds reasonable that it does. Do you know by chance what the second form (the inflected) stands for? For example for dober it reads: "dóber dôbra -o". Is it dual nominative? It remains as the only possible alternative when excluding all the invalid ones.