but I was very worried

About a single quote character causing a problem? Wow, you must think that the DBD modules are almost completely untested?

Though I don't see how you jump from preventing one trivial SQL injection attack to the grand conclusion that all injection attacks will surely be prevented. But placeholders aren't exactly rocket surgery so I'd be rather surprised if somebody could find character strings that are not properly handled by a DBD (ignoring character encoding problems which are still quite a nuisance), much less allowing SQL to be injected.

But I've certainly found plenty of problems with DBD placeholders. None of them were the type that would allow for SQL injection. Most of them were in various versions of DBD::ODBC and include such things as not being able to handle dates without jumping through extra hoops of complexity (or just not being able to use dates via placeholders at all) and more vague problems of queries just not matching properly until I replaced the placeholders with simple string templates using DBD's ->quote(). There were also some problems with DBD::mysql and quotes around numerical values in some situations.

Update: Also consider that your audience's FUD may be related to PHP which, from what I've heard, does some rather unreliable "magic" trying to automatically deal with single quotes in data to/from databases without making a clear distinction between the quoted strings and the (unquoted) string values and that this "magic" doesn't work very well.