Finally an update. Other work in the lab caused some delay in testing. Here's the thing: you can see part the setup as a small tank of water with a pump placed outside of that small tank. The hoses that connect the pump that run into that small tank go via the ceiling. The result is a large volume of air inside these hoses. So first the pump needs to remove the air from the hoses/system and it fails to do this. It seems like it only compresses the air and its pressure is insufficient to remove the air. You can see a water column rising inside the hose for only about 30 cm...
My solution: Teco has coolers whose type end with H. They can heat and cool up to 5 Celcius. The coolers without H can only cool, but up to 0 Celcius (according to specs). Currently we are running a 1000H with an aquarium connected to a rotary evaporator (in case you're interested see
https://en.wikipedia.org/wiki/Rotary_evaporator). The idea was to get the benefits from that cooler in the fumehood as well. Apparently the pumps are finding it difficult and I can see too much time in troubleshooting / tweaking this issue. Therefore we decided to get a Teco 500 (a smaller cooler that can go to 0C instead of 5C). This cooler will be connected to a Eheim 2400 that will be placed in air so the small tank can be cooled by the Teco 500. This *must* work

The small tank is < 10 liters. The reason for choosing a 500 instead of 150 is that you have some capacity left for heat generated during reactions that must be kept cold.
There are 3 things that I wonder:
1) How low can you go with your volume (in liters per hour) and still have a happy cooler? If the tank is small and 500 liters / hour causes splashing...
2) What do people generally do with "incompatible" hose pillars? The Teco 500 has hose pillars for 16mm ID. My Eheim 2400 comes with G3/4" BSP thread so you can connect whatever you want, but out of factory it has a 19 and 24mm (I believe) hose pillar. Do people use adapters or change the piece that screws into the pump? I like as clean as possible (as few connections), but haven't been able to find a plastic G3/4" 16mm adapter with O-ring...
3) Any adapter with hose pillars has the risk of a hose coming off. In the lab it's (almost) required to use hose clamps on each connection. I've spoken to several aquarium stores and they all seem surprised, like, nobody uses hose clamps? Why use hose clamps, they never come off? Do people indeed just put the hose on and...that's it?