Of all reports of "warped rotors" on many forums over many years, when queried, I've yet to get a report back on the actual runout measurement of warpage. I have seen a few with that had that information up front. Of those, none had the pre-warpage runout measurement. (There are also a few where the measurement was made on installation, and the posters stopped there and were asking for help).
The point is, most "warped rotors" I've seen and dealt with, in real life and online, were actually a case of uneven pad deposit. Not saying it doesn't happen, but in the many "warped rotors" I've fixed myself, including some stuck calipers, the problem was uneven pad deposit.
Where "warped rotors" were verified by measurement, I've yet to run into anyone (beyond myself) that had the install runout numbers.
The worst "warped rotor" feeling vehicle I've encountered measured less than .001" runout, but the pad deposits were on opposing sides and opposing ends of the rotors. The "warped" feeling was unreal, practically violent. But the rotors were in spec.
But to answer the original question, yes, stuck calipers can and do cause the throbbing brake issue.