Southern Spain in the spring is wildflower heaven (at least if the drought is lessened). In October that ground will be dry and brown.
The other natural feature that comes to life in the spring is the dehesa. The English translation is “grassland”, but that’s not a very good description.
Wikipedia explains it better. In Extremadura, the dehesa is strewn with huge boulders and is a marshy green area dotted with white flowers on the ground, little streams, and the
Jara bushes everywhere.
I think everything will be open after Easter. There will definitely be more people walking in the spring, then in the late fall, and you may have a very occasional bed crunch, but for the most part, the numbers of pilgrims rarely exceed the number of beds available in any place.
I agree with those who vote for springtime!