As someone currently walking the
Camino Frances (now in Navarra) I can say that not only many albergues are still closed but it seems like the
Camino Frances reached the point of saturation. Roncesvalles reaching its limits, Zubiri was full in early afternoon, Larrasoana had 2 beds available when I got there, the biggest albergue in Pamplona was full by 1 pm. This is due to the fact that bed occupancy is limited to 50 percent, many albergues stay closed and there are groups of young people having usually a week long Camino walks with their counselors (staying in albergues). Those groups don't show up in Santiago Office statistics because they don't finish at Ssntiago. In general booking one or even two days ahead is essential.
It is still very quiet Camino at maybe 1/4 to 1/3 of the 2019 count, but if you walk without reservation you risk ending up without a bed. You can probably still count on private rooms if your budget can support it. Other than that, the
Camino Frances in July 2021 is absolutely wonderful