I understand the need to keep adding resistance, though as my sibling commenter says, I think you're understating the potential of pure bodyweight progressions to increase strength. Exercises like one arm push ups, one arm chin ups, hand stand push ups, planches, pistol squats, nordic curls, etc. can be equivalent to seriously heavy weights and there are plenty of options for gradually progressing toward them. Lots of muscle bound guys who can lift a lot of weight still aren't strong enough do any of these advanced bodyweight moves.
But anyway, what does that have to do with comparing burpees to squats/push ups? :)
What's the progression for push-ups? I was doing 1½ sets of ten wide push-ups on Friday (to failure, thus the ½) and today thought maybe I'd try a one-arm set. Couldn't do a single one, even on knees. Then I tried a set of narrow push-ups with the hands moved a bit footward, and could manage, like, four. On my knees. Is there a good guide to push-up progressions and resistance ratios?
Yeah check out https://reddit.com/r/bodyweightfitness/ as mentioned. There are lots of good resources there and you can find advice on just about anything by searching within the sub.
One arm push ups are way harder than normal ones. It's not something I've tried working on yet myself, but I think you build up by doing things like archer push ups with the other arm assisting less and less until you don't need it anymore.
But anyway, what does that have to do with comparing burpees to squats/push ups? :)