Never mind, I figured it out !
I think that Normal generates one normal distribution per feature. Hence, you have as many log_probs as you have distributions.
However, in the case of multi-features, here’s what I propose:

Either keep Normal, but sum log probs (or multiply probs) to get the probability you seek given multifeatures
Use a Multivariate Normal, which avoids you to gather the probabilites yourself.

If anyone has other insights, or if I’ve made a mistake, I’d be delighted to hear it !
Thanks !