1/ Regulations are ultimately about managing risk, whether that risk is fraud, unsafe practices or someone building an ugly building.

The more (actually or performatively) worried you are about the specific risk, the more checks, approvals, rules and guidelines you put in place.

2/ Governments on both the left and right actually have similarly low appetites for risk, they just focus primarily on different risk categories and operate from an assumption that different groups are bastards that must be watched.

3/ Left wing governments have a tendency to focus on risks arising from business activities and capital.

Their regulations tend to assume that management are bastards, and must be monitored and constrained lest they exploit people or generate negative externalities for profit.

4/ Right wing governments have a tendency to focus on benefits fraud risks.

Their regulations tend to assume folks are out to scam any benefits scheme, and must be monitored and constrained lest they take advantage of the tax-payer's generosity.

5/ Both left wing and right wing governments also use regulations to target social behaviors they deem undesirable.

The specific behaviors targeted tend to be different (criminalizing hate speech vs criminalizing drug use, for example), but it's still all regulation.