Intentionally slow down importing of (Percona) MySQL 5.7 dump
Consider writing a script (in your favorite language) to read the dump file one line at a time and send that line to STDOUT, which will be piped into mysql.  And add a tiny sleep in the loop that does that.

To get fancier, you could fetch Seconds_behind_master to tweak the sleep up or down.  (I think at least one of Percona's tools does this.)