I noticed this too and there are a couple of suggestions on this
1. Ensure your step count is on your phone. Even if you have your phone and watch walking normally it does not double count (I.e taking 10 steps with your watch and phone, should be 10 steps not 20). If no steps are indicated on your watch, but they are on your phone, they should sync when you go into the app. Ensure that you select to count all steps.
You start you walk
watch and phone say 1000 steps
you push pram for 1000 steps
your watch may say 1000, but your phone say 2000.
After the walk with your pram, it should sync back when you go into the app.
(The same thing for the Samsung e fit, however the true count will show on phone, not e fit.)
2. Tie the watch to your belt loop, handbag or a lanyard around your neck. It does not work if you tie to stroller
hope this helps