Based on personal experience with this exact thing (shopping entertainment ventures to traditional VC versus production companies), I’d say there’s a world of difference between the two.
Most notably, VC’s are known for what they don’t know: in other words, it’s quite common (IMHO) for a VC firm to know little-to-nothing about the particulars of their investment. They’re “business people”, not wonks, so their detailed understanding of the physics of the business they’re invested in is not typically that deep.
Film producers, on the other hand, tend to have a lot of actual production experience in one capacity or another. This highlights another difference where producers are often managers as well, whereas VC’s tend to be distant from the day-to-day operations of a company. Producers are often involved directly in the day-to-day physics of filmmaking.
A good producer is also skilled at relationship management, as they are the buffer between the money (executive producers) and the talent.
Of course, i’ve witnessed exceptions to both of these scenarios; it’s more of a broad generalization.