When I’ve used my BioLite, the fan did seem to help a bit. Â Not as much as having twice the stove height, but some. Â My bigger complaint about it was how small I had to cut the wood. Â And that you needed to keep feeding fabulous quality firewood (small blocks of kiln-dried hardwood) to maintain the USB output current.
On the basis of weight, cost, and reliability, I’d suggest a charcoal-lighting chimney:

$12 to $18, takes much larger pieces of wood than a BioLite and puts out some serious heat out the top if you want to cook on it. Â I’ll bring one on boat or car-camping trips if there are 2-3 people along. Â 2-3 people can sit around it on chairs as it puts off enough heat for that and is much less smoky than an open fire. Â It’s too heavy for UL backpacking outside of possible basecamp use, but maybe someone could do a titanium version that rolled up for transport.
If you are going to use one for cooking, bring two short pieces of re-bar (car camping) or chop a cheap set of SS tongs into a big “U” to hold the pot off the top of the chimney. Â Or notch the top of the chimney like the crenellations (vocabulary word of the week!) along the top of a castle.