Traditionally, a metapuzzle (or "meta") makes use of answers from a number of mostly separate puzzles, each with their own themes and mechanics, to give a final meta answer.
For example, in the 2017 MIT Mystery Hunt, here was the relevant flavourtext from the Crafty Criminal quest:
As night falls, the city becomes even more confusing; in the moonlight, everything looks black and white. You’ll really need an experienced guide if you want to find your way around.
Who can help you locate the criminal mastermind?
And here were the answers to 10 completely different puzzles from within the quest:
The way to answer this meta was:
Treat the collective answers as a Mastermind game. The first word is the guess. The second word consists of letters from BLACK or WHITE, with a letter in BLACK meaning "correct letter, correct position" and a letter in WHITE meaning "correct letter, wrong position".
The metapuzzle above is what some call a "pure meta", since it only depends on the answers. It's possible for metapuzzles to depend on additional components, but the key is that the answers which feed into the metapuzzle come from different sources, and the underlying mechanic tying them together isn't obvious at first.
In your puzzle's case, had the crossword clues been replaced with five separate puzzles that gave each word as an answer, then it could be considered a metapuzzle (albeit one which would be easy to backsolve some answers to). However, as-is the puzzle is more a chain of steps for a single puzzle, which would not be considered a metapuzzle.
To be fair, up until recently the metapuzzles tag read something along the lines of:
A metapuzzle (or meta) is a puzzle composed out of the solutions to other puzzles.
While this description is certainly true of metapuzzles, the wording could unfortunately be interpreted in a number of non-metapuzzle ways, and has since been changed. Even the current tag wiki's phrasing isn't perfect, but I hope that this post makes it a bit more clear what the tag was intended to encapsulate.