Doesn't solve the problem. There's a tank space above the connections which traps air. If pressure were enough to remove the air, it would come out the first time the heat got used, as the operating pressure is 15 psi, which is 33 feet of water. That's enough for most places air gets trapped, in most engines. But not everywhere, and not always. The diesel people are very worried about hot spots before the air is removed.
I would not take my vehicle to a shop that didn't use something like the airlift. It does a vastly superior job, faster, and more reliably. And it's not even that expensive; the clones are down right cheap for the time they save.
Bingo.
The only time I use a spill-free funnel is for shitboxes I don't believe will survive a vacuum event. There are 100% vehicles which cannot be reliably filled with the funnel method. And when that car has a blown headgasket, because the customer drove it until it stopped, you will be fixing it for zero pay. What's going to happen when these car which can't be reliably filled enter shitbox status? It's already happening, and is a major PITA. Crimped hoses, plastic cooling system parts with 200k worth of heat cycles on them..... I just need to get it filled up to make a week before they fail, and it's not my problem. On some junk you're stuck manually burping them 5 times trying to purge the air at 3,000rpm to limp them out of the bay.
None of that even gets into the fact that a spill free funnel takes what, 15min minimum? And a vacuum tool take 5 min tops? Maybe 7min if you 100% drained it and want to vac it down twice? Hell it takes longer to fill my 5gallon bucket with coolant and clean up/wipe down the tool than actually fill the system.
To the OP - I use the astro pneumatic kit fill and pressure tester kit. If you do a lot of mid-engine work, this may not be the tool for you. It struggled, I assume due to venturi size, on a porsche cayman with an essentially 100% empty front system. I removed the air bleed fittings on each front radiator, gravity bleed them, and then the tool worked well.