1. The biggest advantage of 分体式 is you can go high cfm. It's hard to find 30" hood with an internal blower > 600 cfm since the hood is too small to house a big blower. With a powerful external blower, you can run low or mid setting most of time, which translates to lower noice level.
2. Very little grease comes out of the external exhaust as most are filtered out by the 滤网. 滤网 is very easy to clean if you use dishwasher. By the way, my 滤网 is mesh type, yours is baffle type. Baffle is better.
3. The external blower is not something beautiful to look at so roof is a better place to put it than the external wall. But roof installation is more expensive. You may need to buy a roof plate (not sure about this name). And also, a roofer may need to be involved and roofers tend to charge more.