It is correct that the original template argument deduction for function calls is on a per-parameter/argument basis. Using the thus-deduced template parameters, a specialization (of the declaration) is generated which is then used as the input for further overload resolution, which may consider partial ordering as a tie-breaker for the entire candidate (= specialization of the function template declaration). At that point, the entire declaration is in view, and [temp.func.order] p2 says the "function type" is used for partial ordering.

@jensmaurer Hm, are you sure? http://eel.is/c++draft/temp.deduct.partial#3 says that the deduction for partial ordering is done on a per parameter/argument basis in the context of a function call

Good point. However, this doesn't seem to be an editorial issue.

The example given at the end of temp.deduct.type p10 is a non-call context, though, where the rule does apply as specified. So, where exactly is the editorial problem?

@jensmaurer The problem itself would arise in the following example:

template<typename T>
int f(T); // #1

template<typename... T>
int f(T...); // #2

int a = f(1); // calls #1

Our intent here is that #1 is called, as shown in the example in [temp.deduct.partial] p8. The partial ordering here is done in the context of a function call, so the deduction is done with respect to the individual parameters and arguments, and consequently the rule that would cause deduction to fail in [temp.deduct.type] p10 (which would make the non-pack parameter at least as specialized as the pack parameter, but not the other way around) doesn't apply.

As for the editorial nature of this issue, that example pretty clearly demonstrates what we want to happen. CWG has also stated what we want to happen in CWG 1825 and CWG 1395.

[temp.deduct.partial] p3 says that we use individual parameters, but then [temp.deduct.partial] p8 has special rules for variadic templates, and look beyond the individual parameter's P/A pair.
The example at the end of p8 is (essentially) the one you quoted above.

but then [temp.deduct.partial] p8 has special rules for variadic templates, and look beyond the individual parameter's P/A pair.

Yup, it effectively says we "look ahead" to match trailing packs. However, it still doesn't use the entire function type, so [temp.deduct.type] p10 wouldn't apply.

My assumption is that we don't need/want [temp.deduct.type] p10 to apply for this case, since we already have similar wording in [temp.deduct.partial] p8 for matching variadics.

The wording in p8 doesn't cause the deduction to fail (as we intend it to) meaning that it would have no effect on the example I provided.