I keep my opinion, that a load cell amplifier circuit may need external shielding to achieve immunity against strong RF fields. Because the test results don't give any quantitative data (frequency, power/field strength, distance), it's difficult to determine, if it's a particular problem of unsuitable PCB layout or, as already guessed, just normal operation.
On the other hand, you'll find some potential for improvements in most designs. A RF hardened would be comprised of
- continuous ground plane
- multiple low inductance bypass capacitors for all supply nodes
- LC filters for all power and signal lines at the board interface
- additional bypass capacitors for low level signals near the analog chips to reduce residual RF
- local shields over sensitive circuit parts