After I finished
Camino Frances I walked the first 200 km of Primitivo. Never had problem with accommodation - at the end of July 2021. So I doubt anyone will have problems in late September or October. Didn't stay in Oviedo but stayed in Paladín (total of 2 pilgrims), stepped to Cornellana - 2 pilgrims, stayed in Salas, 3 albergues + cheap rooms - lots of beds, Bodenaya - don't know, Espina had plenty of space, Campiello didn't fill up, Samblismo: yes no beds available (exception), Berducedo had beds when I passed through it, stayed in La Mesa, there was at least 1 available bed at night (but if you are sensitive about covid space limits maybe not a good place for you) , Castro - I don't know, Fonsagrada had vacancies both in private and municipal, Cadavo Baleira had 1 (!) pilgrim in municipal when I passed by, Castroverde municipal was nearly full but I recommend Pension Cortes, got my own room for only 20 euro and a decent menu at the pension restaurant for 10 euro. Finished my walk there and went to Santiago.
Altogether I walked about 1100 km - 800 on Frances, 200 on Primitivo and 120 Santiago - Muxía - Finisterre, all in the middle of holiday season, and was never forced to take a private room because of lack of albergue space. I did take private room a few times but it was always my choice.
I always book a room in Seminario Menor though, when I go to Santiago (yesterday and today fully booked - no surprise with 1663 pilgrims in Santiago). Single rooms in Seminario Menor have always been my favorite place to stay when I finish my walk to Santiago or just before going home.
Thank you for reading and Buen Camino!
Photos below: Seminario Menor
View from my window. It is so quiet outside.