Sounds like it could evolve to be more transmissible in humans. The more people it infects, the more likely that is to happen.
With that in mind, "flattening the curve" is even more essential.
The Oxford study talks about the S and L strains. The L strain is the more deadly one, but it's likely not made it very far.
The S/L strain study has been heavily challenged, see commentary at https://nextstrain.org/help/coronavirus/FAQ#is-one-strain-of...
As I remember it, it probably wouldn’t make much of a difference here. The classic case mentioned were extremely fast & lethal viruses such as Ebola & Marburg: When a virus kills you within two or three days of infection, any small change can easily double that time and thereby gain significantly better chances of transmission. But for Covid (and, before that, HIV) the infectious period is pretty long already and any improvements would matter less in relative terms.