This is interesting, and there seems to be a bit of debate about it (at least with compositional distributional semantic models). [0][1] seem to show that sense disambiguation helps in some contexts, and [2] show that they don't in others. It doesn't seem immediately clear who is right here. I agree with you though that it seems pretty likely that disambiguating would be helpful.
[0] https://www.aclweb.org/anthology/W13-3513