Acronyms are where naive converters fall apart
Take parseHTTPResponse and ask for snake_case. A converter that splits on every capital letter gives you parse_h_t_t_p_response, which is wrong in a way that is tedious to fix by hand across forty lines. The correct answer is parse_http_response, and getting there means recognising that a run of capitals is one token rather than several.
The same rule has to work in reverse. Converting api_url_id to PascalCase should give ApiUrlId or APIURLId depending on the convention you are following, not a string with the boundaries guessed at. Handling this properly is the single most useful thing a case converter can do and the thing most of them do not.
The job is usually a column, not a sentence
Nobody converts one identifier. They convert a list: the columns from a database schema being turned into struct fields, a set of API keys being renamed for a client library, an enum copied out of one language and into another, a list of feature flags moving from one naming convention to another because the two services disagree.
Converting line by line means pasting the column straight out of wherever it came from and getting a column back. Converting a block as prose means one long run-on line that has to be split again by hand, which is most of the work you were trying to avoid.
Which case goes where, roughly
camelCase for variables and functions in JavaScript, Java and Swift. PascalCase for types, classes and components nearly everywhere. snake_case for Python, Ruby, and most SQL column names. kebab-case for URLs, CSS classes, HTML attributes and file names, because those are case-insensitive in places and an underscore is harder to read in a link. CONSTANT_CASE for environment variables and compile-time constants.
The conventions matter less than consistency within one boundary. A codebase that mixes two is annoying; an API that mixes two in the same response is a bug report waiting to happen, because every client has to special-case a field name that does not match its neighbours.