What free games give free game cards?

Capcom Stadium offerings dropped cards for a short period before they were disabled. That's been the case for a lot of free card drop offerings ever since the option to disable card drops was introduced. Hitman 2 dropped cards just fine with the free Prologue, I believe the Starter Pack that replaced the Prologue disabled card drops and also glitched card drops until removed from active licenses.

You may not want to use the word "lie" so casually, as it can come across rather offensive, even in a generalized context. It's also worth noting that the relevant threads usually discuss this kind of thing in detail, so there's rarely any miscommunication on these matters unless you've managed to pop in during the unfortunate timing of "developer changed things but SG community hasn't had a change to note those changes yet", or you've happened upon a situation where "weird stuff is happening that noone can really figure out".

As such there's really not typically ever a situation where you'll come across collective feedback that can be considered as "misleading", nevermind "a lie", as everyone's generally trying their best to help figure things out as clearly as possible.

(Note that in English a lie by definition requires "intent" [ie, to deceive], and as such is always viewed as being related to a negative contextualization.)