So this is a question similar to the Ring of Darkness question also going on. Basically, Potion of Strength also says model, so does that mean if I have a character with it on a monster that the monster gets the +3 STR also? Or better yet, a character on a chariot for Str 8 impact hits

Can anyone confirm or deny how this works?

Interesting thought, although the wording isn't quite the same. It suggests the model drinks the potion, but as far as the ability, it simply says it "grants +3 strength". It doesn't say it grants +3 strength to the model, although I can see the argument for it in there. It is a bit silly though, so I would probably not play it that way.

think about it logically, you have a potion that makes you super strong and you drink it, so why would your mount or chariot get stronger too? The wording, like Archdukechocula pointed out, doesnt say anything about model for the actual effect.

I would play it the sensible way, rider only for +3 S

Watch out here. Someone in favour of the idea would say imagining the rider sharing his drink with the mount is logical thinking. And just as poison is modified to fit undead, one might say the Potion is adapted to work on chariots.

Yeah just imagine your dreadlord passing your dragon a sip of potion that turn and Bam! Str 9 dragon lol

Anyway I would never actually use this because I think it really is against the spirit of the rules but I can see logically how someone could argue that it works that way.

I can't picture anyone saying that was logical... I can imagine them advancing that interpretation as some kind of RAW but never logical.

I second that. Just because we can imagine somebody raising that point of view doesn't mean it's not pretty illogical and ridiculous.

if you had shared the drink you would share the effects of its strength.

as i said, only the rider gets the strength bonus.

I like the idea of a S6 Dark Steed just for the fun of it. But if the character could somehow share it on his mount why not just share it with the whole unit? S9 Cold One Knights anyone?

Here's your answer. It doesn't say "to the model", so the bonus will not extend to the mount. A halberd "grants +1S" and there is no suggestion of that bonus extrending to the mount.