Well, I was thinking more if they find their business getting massively stifled by the republic, they may decide to solve he problem with bunt force if more subtle means don't solve the anti-crime problem...It is not impossible, but I find it unlikely. Hutts are gangsters and corrupt businessman, and going into a direct war is bad for business. It is better to either change to easier/other targets, move to other, less visible forms of crime or ally with other underworld elements to undermine your enemies.
I mean, they could decide to make an example of anticrime forces to try and scare the wider republic into stepping down their anti-crime efforts, kid of like why the Japanese in WW2 tried to keep the US from interfering with their expansion by attacking pearl harbor... 🤔