I wasn't trolling, but I think you might be?

Of course science can be more/less reliable or half-wrong/half-right. The truth isn't binary, it's closer to fuzzy logic sets.

And as much as you would like to call the "soft" sciences pseudosceince, you are doing yourself a disservice. In reality, your attitude suggests that you are closer to a pseudoscientist than the "soft" scientists you are so eager to dismiss. Narrow-mindedness like you are epsousing is the reason why science is in the dumps.

Just like Newton's laws eh? Newton's laws of motion are Right. They are also inaccurate compared to Einstein's theories of relativity, which must mean Newton's rules are Wrong and Einstein is Right. But wait! There's quantum mechanics which proves that Einstein's work can only be Wrong because there's no way his science could be Right while contradicting quantum mechanics, which is Right.

You have asserted that science (now inexplicably a noun) cannot be Half-Right or Less Reliable so are Newton's laws Right or Wrong? Is Relativility Right or Wrong?

Or perhaps Newton was merely "less precise" - maybe another way of putting it is "less reliable"? - then Einstein.

I think you may be firmly in the "wrong" camp, since you insist so in binary classifications.

No, you're either confident enough the theory holds - at least in some circumstances, confident enough the theory doesn't hold, or you can be not confident enough to say, but you can't ever say your theory is "right". See for example Newton's universal gravitation; it is "mostly right" for most use cases, but it is wrong when general relativity kicks in. And even general relativity is "wrong" when you go into particle physics. It's not as simple as "right or wrong".

Should a physicist be making approximations? Probably not, but a biomedical researcher probably should.