Although that doesn't mean to go ahead and throw in lodash + underscore + ramda + jquery + jquery extensions all on top of react/redux. Just because you're using a modern framework, doesn't mean it needs to be huge. You can build a basic app with preact and min+gz hitting a total size around 20-30kb.
Yes, that's more than server-rendered simple AMP-style html... on the flip side, you don't have to round trip for every screen either. It's also a LOT smaller than some of the behemoths out there, and even then, a lot of the time Images are the biggest hit in bandwidth.
If and only if you do the SPA right. Compare Twitter (slow to load, slow to interact with, battery-draining, issues with maintaining scroll position, and all of these get worse the farther you scroll down) to the SPA version of https://mobile.twitter.com/ (fast to load and interact with) to the static version of Mobile Twitter (even faster, no infinite scroll, works on Dillo).