Yes.

Terry is absolutely right when he says that the truth of "4 + 4 = 8" depends on the truth of the axioms that define the terms occurring in that sentence (say Peano's Axioms, which will suffice for those particular terms). He's also right to say that those axioms are not absolute (because there are models that don't satisfy them).

From these facts he correctly concludes that: since the axioms are not absolute, the truth of arithmetical statements (such as "4 + 4 = 8") will also be relative (that is, true if the axioms are satisfied).

But, what is absolutely true (i.e. generally valid) is that: any model that satisfies Peano's Axioms will make all arithmetical statements true (including "4 + 4 = 8"). So, if you think of mathematical theories as (being described by) a bunch of conditional sentences, then mathematical statements can be said to be absolutely true, because they're really making tautological claims like: "if the Peano Axioms are true, then 4 + 4 = 8 is true".

Perhaps it's because Terry doesn't share the proposed view of mathematics that he gives a negative answer (in this connection I find it puzzling that Dr. Wolfskehl who shares the conditional view of math still gives a negative answer). Otherwise, our answers coincide.