I went to the Kotel on Chol Hamoed late in the morning. We go there about 11:30 and it was really hot so we went inside. We saw a number of Chasidim with taleisim and then I heard them saying kaddish after korbanos and then starting הודו. It is hard to believe that people are starting to daven shacharis at 11:30AM.
Note the timestamps on the pictures.