Tense Simplification in Subordinate Clause (Future Form)

In Michael Swan's book "Practical English Usage", entry 231, it is indicated, we often use tense simplification in subordinate clause. In its first part two examples are given and asked for comparing:

1) This discovery means that we will spend less on food.

2) This discovery will mean that we spend less on food.

Since the subordinate clause is after that, so the second one may be right; however, the first one seems more natural for me. I wanted to ask, which one is the right answer, and if both, what do they mean?

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