Are all bluetooth adapters the same?
Solution 1:
Are all bluetooth adapters the same ?
No, there is quite a variety of different bluetooth standards:
Bluetooth: Specifications and features
Some, but not all, are backwards compatible to certain standards.
Update
The V470 Cordless Laser Mouse is compatible with multiple BT standards and so is the EB-MDC1, so there's a great likelihood for a match. :)
Solution 2:
There are many different Bluetooth adapters, many have different chipsets and specifications (such as speed, distance (Class) EDR support along with other things).
However, if your mouse follows a set standard that the new Bluetooth adapter supports, it should work without problems.
I have used a generic Bluetooth class 2+EDR adapter (I think the most common/cheapest) with off the shelf Bluetooth mice and not had a problem.
Edit
Update to your edit -
It Should work fine with that one... class and various other things mainly affect the speed, distance and a few other technical things (such as pairing) that the device uses. Actually supporting devices should be no problem, depending on the software stack you use (Blue Soleil, Toshiba, Microsoft etc.) - The mouse should simply support the profile "HID / Human Interface Device) and work with any 1.2+ Bluetooth hardware or software stack out there.