are statistic results of these two questions equal?
That's a good question, but... No way, man, they're not equal!! When you ask someone to choose between 4 options, their answer just means about their pick for the 4 options. And this, and only this, is the way to know the preference of people for those 4 options!

The way you're purposing could even generate an inconsistency... Suppose that one person prefer A over B and C, but not over D. It doesn't means that they would necessarily prefer D over B and C, nor means that A or D would be the choice among all. Our choices are not rational, so, if just the order you offer the 4 (or 2) options could induce people to prefer one of the options, asking all vs all could generate a lot of noise!

I'm not saying it's a bad idea, depends on the purpose of your question, of course, and on what you want to know!

I don't know what's your objective, exactly, but maybe you want to ask people to put them in order of importance! e.g., you might be wanting to ask people:
"Classify these options in order of importance". This is what does it looks like, by your question, but it's just a guess at all.

It all will depend on what you want to know and the evolved specificity. In some cases, it would be a good idea, in others not.