BitLocker defaults to using the local machine's TPM for key storage, if it has been configured this way then moving the disk to another device will prevent access to the keys, which are unique to the encrypted drive, by implication this means the data will remain encrypted.
If you do not need to enter a password at boot-up (i.e. the first time you are prompted for a password is when Windows has loaded), then BitLocker is configured as above. And this is probably the reason your company do not want to recover the drive contents...they know it is going to be difficult (depending on what has actually failed in the source laptop).
However, BitLocker can be configured without using a TPM, in theory in this scenario it should be possible to mount the drive in another machine and provide the password to access the drive, though I have ever tried it to be able to confirm this.