An emergency should be just that: an emergent situation demanding immediate attention. The executive should be able to declare an emergency with a check from Congress (a deliberately slow body) one month later. If the emergency is ongoing and credible, and a solution is forthcoming, Congress can then act to appropriate additional resources using its constitutionally provided powers over funding.
This isn’t about Dems vs Republicans, this is about reigning in the executive branch which has been overly powerful and independent for more than 30 years now.
Detractors claiming that this is a sour grapes reaction to the Republican in office currently would do well to note that this, if passed, would affect executives from any party in the future.