@TopsyKretts and
@Beebopalulla
Both the gamma and omega level state that the +2 bonus applies to the fighters strength characteristic. Not the weapon used but the fighter themselves. The Digi lasers profile does not include the fighters strength it just has a flat fixed strength of one ( S1 not S+1) so the bonus to strength does not apply as the fighters Strength is not a factor in that weapon at all.
The upgraded omega version just adds all weapons are treated as having suspensors to them over the gamma version. No help with digi lasers there.
If either version states that it applies to the weapon there is an argument for it but it specifically says the fighter characteristic are modified when using a Melee or Versatile trait weapon not the weapon used itself.