Yes, it does look like 'Félicité et Perpétue'. However the description accredits 'Félicité et Perpétue' with only up to 40 petals, whereas my rose has 80+. There seems to be some inconsistency in the HMF photos for 'Félicité et Perpétue' regarding the degree of doubleness, suggesting there may be some incorrectly identified images. This observation is very apparent on the earliest page of photos, where one photo shows a bloom with noticeably fewer petals than the others. Could the description be inaccurate in respect of the number of petals?
Later: having consulted Botanica's Roses and The American Rose Society's Encyclopedia of Roses, I'm convinced my rose is in fact 'Félicité et Perpétue'. I will now post my photographs in the section for that rose and will also post a comment questioning the claim on the description page that 'Félicité et Perpétue' has "up to 40 petals". Thank you, Ophrys26, for your identification.