NAL123, I think I understand what you're saying, and it boils down to the definition of 'hypothetical'. In the strictest sense of the definition, I suppose one could argue that all conditionals are hypothetical, because the second clause will only occur when the 'if' clause (condition) is met. I think that's the argument you're trying to make, if I understand you correctly.
However, what is really meant by 'hypothetical' in regards to conditionals is the concept of 'real' possibility vs. 'unreal'. 'Real' possibility refers to situations where the outcome dependent on the if condition is very likely or very probable. 'Unreal' possibility refers to outcomes that are unlikely, contrary to fact, or just flat out impossible, so discussion of them is purely hypothetical.
For example:
If it is sunny tomorrow, I'll go to the beach. 1st Conditional, aka Future Real Conditional (real situation in the future)
(real, because there's a good possibility that the if condition (sun tomorrow) likely will happen, therefore it's a good possibility that I will go to the beach.)
If I spoke Swahili, I could understand him. 2nd Conditional, aka Present Unreal Conditional (unreal situation in the present)
(unreal - I don't actually speak Swahili, so there's zero possibility of me understanding him. Hypothetically though, if I did speak Swahili, I'd understand him.)
If I had sung better, I would have won first prize. 3rd Conditional, aka Past Unreal Conditional (unreal situation in the past)
(unreal - I didn't sing better, so I didn't win first prize, and because this is all in the past, it's impossible for it to ever happen as I want -so it's purely hypothetical. Also, this is purely conjecture on my part - even if I had sung better, I still might not have won.)