I don't know how common it is for the different people who do an elevator pitch, but IIUC most successful standup comedians do this incremental testing and refining of bits very heavily.
One difference I'd call out is that the delivery is different in what's understood as a formal rehearsed performance, than when speaking in informal one-on-one contexts.
IMHO, for informal, it's OK if you use pretty much the same canned explanation each time (especially for an elevator pitch, which is understood as a thing), just don't pretend you're speaking off-the-cuff.
For example, don't pause like you're thinking of the right term or analogy to use. (I've seen Steve Jobs videos where he seems to do this. And I had a colleague who would do it for one key metaphor term, even though they said the same bit about their research to different visitors almost every day.)
If you go to a standup performance or TED talk, you're expecting a heavily-rehearsed performance, with artificial flourishes. But if you're having a one-on-one conversation with someone, you want a bespoke, genuine, engaged, adaptive interaction. Canned bits in that are OK, but don't pretend those bits are fresh.
You can still do that, just know it's disingenuous, inauthentic, and disrespectful to your audience. May be worth it to you, for example if you don't care about that particular audience.
One difference I'd call out is that the delivery is different in what's understood as a formal rehearsed performance, than when speaking in informal one-on-one contexts.
IMHO, for informal, it's OK if you use pretty much the same canned explanation each time (especially for an elevator pitch, which is understood as a thing), just don't pretend you're speaking off-the-cuff.
For example, don't pause like you're thinking of the right term or analogy to use. (I've seen Steve Jobs videos where he seems to do this. And I had a colleague who would do it for one key metaphor term, even though they said the same bit about their research to different visitors almost every day.)
If you go to a standup performance or TED talk, you're expecting a heavily-rehearsed performance, with artificial flourishes. But if you're having a one-on-one conversation with someone, you want a bespoke, genuine, engaged, adaptive interaction. Canned bits in that are OK, but don't pretend those bits are fresh.