[MC-192836] NoAI mobs can enter boats and minecarts

Mobs with the NoAI tag can still enter boats if their collision collides with the boat's.

Note: The strange behavior when entering the boat in the video is due to MC-167299

Summon a NoAI mob
```
/summon villager ~1 ~ ~2 {NoAI:1}
```
Summon a boat on top of the mob
```
/summon boat ~ ~ ~2
```
Get in the boat. If you do not start slowly moving downwards, get out of the boat and try again. This may take a few attempts.
Get out of the boat. The mob should now be in the boat

Linked issues

I am unable to reproduce this, please provide a screenshot of your game with your F3 debug screen enabled.

I have attached a screenshot.

I can confirm for 1.16.3

Can confirm in 20w49a. I've attached an additional video. Here are some useful commands to reproduce this problem.

/summon boat ~ ~ ~2
/summon villager ~1 ~ ~2 {NoAI:1}

Can confirm in 20w51a.

3 more comments

Can confirm in 1.16.5 and 21w18a.

Can confirm in 1.17.

Can confirm in 1.17.1.

Can confirm in 1.18.2 and 22w12a.

Can confirm in 1.19.2.