No, I would suggest that you get a second opinion. There is no way to detect a loose bearing if it isn’t making a lot of noise right now. They make a lot of noise before any looseness can be detected.
I believe this generation Accord still used the captive rotors. When you have the rotors replaced, that is the time to replace the wheel bearings because everything will be apart already. The rotors should be replace on every second pad change.
The pulsing may be due to a residue build up from the pads on the rotors. This usually happens to people who are easy on the brakes, they don’t get them hot enough to burn off the residues. A couple of good hard stops from 60 to almost zero, not skidding but hard braking, will usually heat up the rotors and burn off the residues. Two of these should be enough. If that doesn’t work, then the rotors may be warped and should be replaced, but I’d get new pads at the same time even if there is life left in the old ones.