A regulator liable for ALL the deposits becomes responsible for ALL the assets. Regulators are generally conservative, and loans to new companies with strange ideas and no track record don't look so good to them. SVB's underwriting of startups depended on regulatory freedom to take risks not entirely understood by regulators, with corresponding risk that those loans might fail. Some career bureaucrat will not look kindly on a bunch of loans to the likes of nextbigthing.com.
That underwriting didn't kill SVB. But restrictions on it are likely to follow -- the bureaucrats lack the judgment and knowledge to approve anything without a proven track record.
The SVB depositor bailout may have spared startups some anxiety and complication (the bulk of their cash was never at risk), but it may very well prevent the replacement of SVB. The startup community will likely regret its weekend of panic and special pleading.
(There is also the problem of politicization of credit allocation, which we saw in 2008 when mortgages to low-income and subprime borrowers contributed to (I don't say caused) the housing bubble that brought down the whole mortgage market. But this will be of less interest/concern to the tech startup community.)