Similarly, you can test to see if your Core has all the algorithms from the front panel. Just press the "Presets" button twice and you should see the name of the algorithm you're currently on. Use the knob to scroll through algorithm names. If you only see "H910/H949" then it did not sync properly. However, if you see more names than just "H910/H949" then you can be certain all the algorithms are loaded into the pedal. Now it's up to you to populate them into the available preset slots.
If you want to make a copy of your H9 Max, I recommend uploading all of the current presets of your H9 Max to a list on H9 Control. Then, you can download that list to your H9 Core for an exact preset copy.