The public just now seem to be quite quick to backlash and driven by Not wanting, rather than wanting, if that makes sense.
I honestly believe that if this is continued to be pushed with the obvious agenda, by the media and opposition, they will suffer for it. They might even push it as far as getting Nicola resigning, but the snp support will surge in backlash, and they will end up with a higher majority, with a less moderate (likely less capable and patient) leader, with less to answer for in terms of everything Sturgeon is currently carrying from the last 6-7 years.
If it is 'left alone' and by that i meant as a typical internal assessment that all high profile cases go through, without the political angle fuss, the SNP will do enough to dilute their own very strong position. It is likely they may still have a majority, but a very slight one, or possibly even the largest party but without a majority, and with an 'easy target' leader in Nicola, who is more moderate, a known quantity, less divisive than others.