They seem to be called the Classic (I just went to their site and narrowed the filters down to Road bike and Centerlock options and those were the only ones left.
As OP says, it's just up to the tire and wheel combo. On my Bonty Affinity TLR aluminum rims, for both Conti 5K TL and Panaracer GravelKing SKs I needed an air compressor. With my Black Inc 30s + Conti 5K TL I needed an air compressor plus my LBS's fast hands because the tire would lose it's bead even after being seated while he tried to get the valve core back. The core needed to be removed to get full air pressure from the compressor in to seat the bead.

But I also just watched Shane Miller (GPLama) on YouTube, just seat two Schwalbe G-One Bites onto his DT Swiss rims with just a floor pump. So it really just depends on the combo.

I'm going with an air compressor because of the other things it can do, in addition to inflating tires. A good example is that every few hundred miles, I like to do a full degrease cleaning and re-lubrication of my chains. An air compressor will let me quickly dry the chains after degreasing and rinsing with soapy, then clean water without having to wait for it to air-dry before re-lubing. I can also use it to quickly blow dust off of my balcony as well (where I work on my bikes).