This is not a case of 'ignoring the theory', it's a case of you being pedantic.
I didn't say "replace 'like' queries with identical functionality", I said 'replace', as in 'supersede' and 'improve upon'. Except for insane cases such as the search 'ant' matching the word 'pedANTic', which is to say whenever whole tokens are intended to be matched, postgresql's full text search will replace 'like' queries for you with better functionality (such as matching non-continuous tokens in a search text) and better performance (assuming an index is created).
However, having full control of the tokenization pipeline means you can certainly satisfy any special cases your old 'like' queries would satisfy. For example, in Solr it is trivial to tokenize additionally on word/camel case/number-letter boundaries, so that the tokens generated from something like EM22C can be EM 22 C, EM22 C, EM 22C, EM22C, etc.
That is a specific example, so please don't respond that I am ignorant of the theory, I fully realize that you can index any string, not just the exact ones I mentioned there.
Speaking of being pedantic, Postgresql's full text search is not an 'inverted index'. It is not an index at all, although it can use indexing to improve performance. In addition to GIN (Generalized Inverted Index) it can also use GiST (Generalized Search Tree)