Tax avoidance is the avoidance of the required tax (an alternative name is tax evasion), tax minimisation is paying one's required tax and no more.
From the perspective of tax collectors, avoidance is evasion and not minimisation. Politicians also use the term "tax avoidance" as a synonym for "tax evasion" when it is useful to them.
Having friends who worked at various stages for various kinds of bureaucracies (including tax collection), they have spoken of the distinct terminology used and why it is used.
It is not a matter of re-interpreting the "tax law" but creating the appropriate internal definitions as to what that "tax law" means. The problem that people face is that legal definitions quite often do not match the general populous understanding of the words used.
We can always argue over whether or not "tax avoidance" is the same as "tax evasion" or "tax minimisation". The reality is that each of these terms has a definitive meaning dependent on who is using the term. Taxation collection organisations will have one set of meanings, politicians will have another, the general population will have another.
The only meanings that are relevant are what the taxation collection organisations assign to those terms in their internal working processes. I am using the definitions of those terms as shared to me by my friends in taxation.
One of the reasons for using tax accountants these days is that many years ago, I was audited by the relevant tax authority. The upshot was that they disallowed the claim in question and in my last conversation with the auditor, he made the comment that the deduction was allowable but he wasn't going to tell me how to claim it. I have used accountants since then. I let them deal with the complexity of the taxation law. A good accountant is worth the cost just to avoid having to deal with the "insanity" of current taxation regimes.
I don't have a problem with taxation per se, only with the insane level of complexity that has built up in modern times. When tax law goes from say 80 pages at the start to 30,000 + pages today, one has to ask why? YMMV.
Lastly, if in America, the IRS is bound by those same laws as the citizenry, why are the so many documented cases of the IRS "draining" the bank accounts of so many little people when nothing illegal has been done? The IRS has interpreted the law by their own internal definitions.