I mean they can ask for it but I don't think they're guaranteed to get it given Bichette's salary vs. his production this season. BTV, which is admittedly not perfect, has him with negative value. I think negative value is a bit low as it undersells his previous years' production, but this year is going to eat at a good chunk of his value which is limited to begin with as a one year rental.
Also depends on the prospect. If the cost was Tyler Black, for example, I'd be fine giving that up.