For example in help_tutorial_11 if you click the link 0... Ka6xPb6 -1. a5xb6ep b7-b5 it still shows the capture counts as:
0 0 0
1 0 1
but there should be 3 White pawn captures and 5 total White captures (black bishops on c8 and f8). This can be confirmed by switching to Edit mode on the position, and then switching immediately back to Play.
If there is a concern that pawn captures may rarely take a long time to compute - it doesn't for any tutorial position. At the very least, the capture counts should be greyed out to indicate they may not be accurate. That's the current behavior when replaying a game with the "Paste" button, and it is acceptable.