Web design and architecture are almost too easy to compare with the same language. They aren't directly comparable but the history seems to flow similarly.

If we consider the 90s web to be antiquity, and the gradients of the 2000s as the dark ages, then one could make the case that (starting with iOS 7) flat design is neo-classical, and the further movements to use a flat base but play with elements that pop out (https://stripe.com) is our version of baroque.

It's easy to notice these historical similarities, but unfortunately it also makes it easy to assign a style of web design to match a style of architecture, even if there is nothing truly comparable between the two.